Mathematics and Statistics

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NameMathematics and Statistics
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Parent school/facultyFaculty of Science
Historical note
URLhttp://www.upei.ca/math/

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TitleAuthor(s)
Exact and approximate solutions of Schrödinger’s equation for a class of trigonometric potentialsCiftci, Hakan; Hall, Richard L.; Saad, Nasser
Exact and approximate solutions to Schrodinger’s equation with decatic potentials Brandon, David; Saad, Nasser
Some formulas for the Appell function F 1 (a, b, b′; c; w, z)Brychkova, Yu. A. ; Saad, Nasser
Study of the Generalized Quantum Isotonic Nonlinear Oscillator PotentialSaad, Nasser; Hall, Richard L.; Ciftci, Haken; Yeşiltaş, Özlem
2D-Zernike polynomials and coherent state quantization of the unit discThirulogasanthar, K. ; Saad, Nasser ; Honnouvo, G.
Quasicrystals as alloys with short-range orderSulston, K. W.; Burrows, B. L.
Expanding a bandMacDonald, Gordon W.
Coherent states associated with the wavefunctions and the spectrum of the isotonic oscillatorThirulogasanthar, K.; Saad, Nasser
Distributive online channel assignment for hexagonal cellular networks with constraintsFitzpatrick, S.; Jeannen, J.; Nowakowski, R.
Bounds on Schrodinger eigenvalues for polynomial potentials in N dimensionsHall, R. L.; Saad, Nasser
Sextic anharmonic oscillators and orthogonal polynomialsSaad, Nasser; Hall, R. L.; Ciftci, H.
Overlap effects on surface statesDavison, S. G.; Sulston, Kenneth W.
On operator bandsDrnovsek, R.; Livshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.; Semrl, P.
Transmission through two-dimensional tight-binding latticesBurrows, B. L.; Sulston, Kenneth W.
Eigenvalue bounds for a class of singular potentials in N dimensionsHall, R. L.; Saad, Nasser
Simultaneous approximation and interpolation of increasing functions by increasing entire functionsBurke, Maxim R.
Perturbation expansions for a class of singular potentialsSaad, Nasser; Hall, R. L.; von Keviczky, A. B.
Various products of category densities and liftingsBurke, M. R.; Macheras, N. D.; Musiał, K.; Strauss, W.
Invariant subspaces for multivariate Bishop-type operatorsMacDonald, Gordon W.
Variational analysis for a generalized spiked harmonic oscillatorHall, R. L.; Saad, Nasser
A generalization of Straube's theoremIslam, Shafiqul; G{\'o}ra, Pawel; Boyarsky, Abraham
Electron transmission through a doped semi-conducting atomic wireSulston, Kenneth W.; Davison, S. G.
Friedrichs extensions of Schrodinger operators with singular potentialsvon Keviczky, A. B.; Saad, Nasser; Hall, R. L.
Absolutely continuous invariant measures that cannot be observed experimentallyG{\'o}ra, Pawe{\l}; Boyarsky, Abraham; Islam, Shafiqul; Bahsoun, Wael
Construction of exact solutions to eigenvalue problems by the asymptotic iteration methodCiftci, H.; Hall, R. L.; Saad, Nasser
Energy bounds for a class of singular potentials and some related seriesSaad, Nasser; Hall, R. L.; von Keviczky, A. B.
Study of anharmonic singular potentialsSaad, Nasser; Hall, R. L.; Katatbeh, Q. D.
Continuous functions which take a somewhere dense set of values on every open set (vol 103, pg 95, 2000)--correctionBurke, Maxim R.
Transmission of neutrons through non-periodic magnetic latticesSulston, Kenneth W.; Burrows, B. L.
Closed-form sums for some perturbation series involving hypergeometric functionsSaad, N.; Hall, R. L.
Matrix semigroups with commutable rankLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Okninski, J.; Radjavi, H.
Hormonal effects on glucose regulationSulston, Kenneth W.; Ireland, W. P.; Praught, J. C.
Solvable systems of linear differential equationsRobertson, Katherine M.; Saad, Nasser
Randomly chosen chaotic maps can give rise to nearly ordered behaviorBoyarsky, Abraham; G{\'o}ra, Pawe{\l}; Islam, Shafiqul
Criterion for polynomial solutions to a class of linear differential equations of second orderSaad, Nasser; Hall, R. L.; Ciftci, H.
Eigenvalue bounds for transformations of solvable potentialsHall, R. L.; Saad, Nasser
Composition operators on the Newton spaceMacDonald, Gordon; Rosenthal, Peter
Constructing irreducible semigroups of idempotentsMacDonald, Gordon W.
Wave equation and dispersion relations for a compressible rotating fluidMarin-Antuna, J.; Hall, R. L.; Saad, Nasser
The maximum dimension of a subspace of nilpotent matrices of index 2Sweet, L. G.; MacDougall, J. A.
Infinite homogeneous algebras are anticommutativeDokovic, D. Z.; Sweet, Lowell G.
Reducible semigroups of idempotent operatorsLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
Method development and generation of profiles for selected phenolics from apple cultivars used for processed productsRussell, L. F.; Wolfe, L. I.; Ryan, D. A. J.
On transitive linear semigroupsDrnovsek, R.; Livshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.; Semrl, P.
Matrix elements for a generalized spiked harmonic oscillatorHall, R. L.; Saad, Nasser; von Keviczky, A. B.
Non 3-choosable bipartite graphs and the Fano planeFitzpatrick, Shannon L.; MacGillivray, G.
Multisite bond and overlap treatment of polymer-chain band structureSulston, Kenneth W.; Davison, S. G.; Burrows, B. L.
Common fixed points and common eigenvectors for sets of matricesBernik, J.; Drnovsek, R.; Kosir, T.; Laffey, T.; MacDonald, Gordon W.; Meshulam, R.; Omladic, M.; Radjavi, H.
Multi-site overlap in tight-binding systemsDavison, S. G.; Sulston, Kenneth W.
Theory of surface-ionneutralizationDavison, S. G.; Sulston, Kenneth W.; Amos, A. T.
Eigenvalue bounds for a class of singular potentialsHall, R. L.; Saad, Nasser
The Klein-Gordon equation with a generalized Hulthen potential in D -dimensionsSaad, Nasser
Absolutely continuous invariant measures of linear interval mapsIslam, Shafiqul
Large entire cross-sections of second category sets in Rn+1Burke, Maxim R.
An irreducible semigroup of non-negative square-zero operatorsDrnovsek, R.; Kokol-Bukovsek, D.; Livshits, L.; MacDonald, Gordon W.; Omladic, M.; Radjavi, H.
Green's function for a Schrodinger operator and some related summation formulasvon Keviczky, A. B.; Saad, Nasser; Hall, R. L.
Bounded sets in topological vector spacesBurke, Maxim R.; Todorcevic, S.
Sets of range uniqueness for classes of continuous functionsBurke, Maxim R.; Ciesielski, K.
A simple mathematical model to aid quantification of electrophoresis gels by image analysisIreland, W. P.; Sulston, Kenneth W.; Summan, M.
Some reduction and transformation formulas for the Appell hypergeometric function F-2Opps, Sheldon B.; Saad, Nasser; Srivastava, H. M.
Resilience to large-scale disturbance in coral and fish assemblages on the Great Barrier ReefHalford, A.; Cheal, A. J.; Ryan, D.; Williams, D. M.
Intersections of nest algebras in finite dimensionsFillmore, P. A.; Longstaff, W. E.; MacDonald, Gordon W.; Radjavi, H.; Zhong, Y.
Category product densities and liftingsBurke, Maxim R.; Macheras, N. D.; Musial, K.; Strauss, W.
Stimulating disease suppression in soilsSturz, A. V.; Ryan, D. A. J.; Coffin, A. D.; Matheson, B. G.; Arsenault, W. J.; Kimpinski, J.; Christie, B. R.
Invariant densities of random maps have lower bounds on their supportsG{\'o}ra, Pawe{\l}; Boyarsky, Abraham; Islam, Shafiqul
Temporally stable coherent states for a free magnetic Schrodinger operatorThirulogasanthar, K.; Saad, Nasser; von Keviczky, A. B.
Standard triangularization of semigroups of non-negative operatorsMacDonald, Gordon W.; Radjavi, Heydar
Operator semigroups for which reducibility implies decomposabilityLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
Capacitance-based sensor for monitoring bees passing through a tunnelCampbell, J. M.; Dahn, Douglas C.; Ryan, D. A. J.
Oxygen radical absorbing capacity, anthocyanin and phenolic content of highbush blueberries (Vaccinium corymbosum L.) during ripening and storageKalt, W.; Lawand, C.; Ryan, D. A. J.; McDonald, J. E.; Donner, H.; Forney, C. F.
Smooth transformations of Kratzer's potential in N dimensionsHall, R. L.; Saad, Nasser
Many-electron theory of charge-transfer processes in particle-surface scatteringDavison, S. G.; Amos, A. T.; Burrows, B. L.; Miskovic, Z. L.; Goodman, F. O.; Sulston, Kenneth W.
Decomposable weighted rotations on the unit circleMacDonald, Gordon W.
Spiked harmonic oscillatorsHall, R. L.; Saad, Nasser; von Keviczky, A. B.
Continuous functions which take a somewhere dense set of values on every open setBurke, Maxim R.
Borel measurability of separately continuous functions, IIBurke, Maxim R.
Edge critical cops and robberClarke, N. E.; Fitzpatrick, S. L.; Hill, A.; Nowakowski, R. J.
Closed-form sums for some perturbation series involving associated Laguerre polynomialsHall, R. L.; Saad, N.; von Keviczky, A. B.
On band algebrasLivshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
Asymptotic iteration method for eigenvalue problemsCiftci, H.; Hall, R. L.; Saad, Nasser
On the number of dependent sets in a connected graphHorrocks, D. G. C.
Surface states in electrochemisorptionDavison, S. G.; Sulston, Kenneth W.; Miskovic, Z. L.; Goodman, F. O.
Integrals containing confluent hypergeometric functions with applications to perturbed singular potentialsSaad, Nasser; Hall, R. L.
A basis for variational calculations in d dimensionsHall, R. L.; Katatbeh, Q. D.; Saad, Nasser
Generalized spiked harmonic oscillatorHall, R. L.; Saad, Nasser; von Keviczky, A. B.
Approximation of absolutely continuous invariant measures for Markov switching position dependent random mapsIslam, Shafiqul; G{\'o}ra, Pawel; Boyarsky, Abraham
Overlap effects on electron transmission through doped molecular wiresSulston, Kenneth W.; Davison, S. G.
Lower bounds from tile covers for the channel assignment problemJanssen, J. C. M.; Wentzell, T. E.; Fitzpatrick, Shannon L.
Calculation of generalized Hubbell rectangular source integralMurley, Jonathan; Saad, Nasser
Energy bounds for the spiked harmonic oscillatorHall, R. L.; Saad, Nasser
Mathematical modelling of image analysisSulston, Kenneth W.; Ireland, W. P.
Perturbation expansions for the spiked harmonic oscillator and related series involving the gamma functionHall, R. L.; Saad, Nasser
Study of a confined hydrogen-like atom by the asymptotic iteration methodCiftci, H.; Hall, R. L.; Saad, N.
Spectral characteristics for a spherically confined- a/r+ br2 potentialHall, R. L.; Saad, N.; Sen, KD
Energies and wave functions for a soft-core Coulomb potentialHall, R. L.; Saad, N.; Sen, KD; Ciftci, H.
Casimir force in Randall-Sundrum models with q+ 1 dimensionsFrank, M.; Saad, N.; Turan, I.
On the square integrability of some representatins of SU (1, 1)Saad, N.
Cestode parasitism as a regulator of early life-history survival in an estuarine population of rainbow smelt Osmerus mordaxBourque, J. F.; Dodson, J. J.; Ryan, D. A. J.; Marcogliese, D. J.
Thermal effects on charge transfer in atom-surface scatteringGoodman, F. O.; Sulston, Kenneth W.
Solutions for certain classes of the Riccati differential equation, ; Saad, nasser; , ; Hall, Richard L.; Ciftci, Hakan
The effects of additive outliers on the seasonal KPSS testKhedhiri, Sami; El Montasser, Ghassen
Soft-core Coulomb potentials and Heun’s differential equationHall, Richard L.; Saad, Nasser; Sen, K. D.
Point sampling strategies for estimating coverage from benthic video transectsRyan, D. A. J.
Improving the precision of longitudinal ecological surveys using precisely defined observational unitsRyan, D. A. J.; Heyward, A.
Topologically transitive matrix semigroupsLivshits, Leo; MacDonald, Gordon; Radjavi, Heydar
Orbital non-orthogonality in surface-state theorySulston, Kenneth W.; Davison, S. G.
Ultraweakly closed algebras and preannihilatorsMacDonald, Gordon W.
The quantum-mechanical box effectHall, R. L.; Saad, Nasser
The numbers of dependent k-sets in a graph are log concaveHorrocks, D. G. C.
Simple formula for computing the Hubbell radiation rectangular source integralMurley, Jonathan; Saad, Nasser
Study of a class of non-polynomial oscillator potentialsSaad, Nasser; Hall, R. L.; Ciftci, H.
A decomposition theorem for homogeneous algebrasSweet, Lowell G.; MacDougall, J. A.
A Kadison transitivity theorem for $C\sp *$-semigroupsLivshits, L.; MacDonald, G.; Marcoux, L. W.; Radjavi, H.
Green function theory of chemisorptionDavison, Sydney G.; Sulston, Kenneth W.
On a modified beta function and some applicationsFatehi, A.; Murley, J.; Saad, N.
Tables of the Appell hypergeometric functions $ F\_2$Murley, J.; Saad, N.
Geometrical approximation methods for the discrete spectra of Schrödinger operatorsSaad, N.
The impact of smoking and polymorphic enzymes of xenobiotic metabolism on the stage of bladder tumorsKhedhiri, S.; Stambouli, N.; Ouerhani, S.; Rouissi, K.; Marrakchi, R.; Gaaied, A. B.; Slama, M. B.
Asymptotic iteration method for singular potentialsCHAMPION, BRODIE; HALL, RICHARD L.; SAAD, NASSER
Statistical design of an experimental problem in harmonicsAggarwaia, Rita; Alam, Jahrul; Islam, Md Shafiqul; Lamoureux, Michael; Paulhus, Marc; Powojowski, Miro; Rasekh, Leila
Diffusion approximations of the geometric Markov renewal processes and option price formulasAnatoliy, S.; Islam, Shafiqul
Physical applications of second-order linear differential equations that admit polynomial solutionsCiftci, Hakan; Hall, Richard L.; Saad, Nasser; Dogu, Ebubekir
Generalized quantum isotonic nonlinear oscillator in d dimensionsHall, Richard L.; Saad, Nasser; ,
Invariant measures for higher dimensional Markov switching position dependent random mapsISLAM, M. D. S.
Invariant measures of stochastic perturbations of dynamical systems using Fourier approximations ISLAM, M. D. S.; PAWEL, G.
Piecewise linear probability density functions of invariant measures for position dependent random mapsIslam, M. S.
Distance from Idempotents to NilpotentsMacDonald, Gordon W.
Eigenvalue bounds for polynomial central potentials in d dimensionsKatatbeh, Qutaibeh D.; Hall, Richard L.; ,
Recursion formulas for Appell's hypergeometric function F2 with some applications to radiation field problemsOpps, Sheldon B.; Saad, Nasser; Srivastava, H. M.
The Klein-Gordon equation with the Kratzer potential in D-dimensionsSaad, Nasser; Hall, Richard; Ciftci, Hakan
Discrete spectra for confined and unconfined-a/r+ br^ 2 potentials in d dimensionsHall, R. L.; Saad, N.; Sen, KD
Developmental potential of galls induced by Diplolepis rosaefolii (HymenopteraLeBlanc, D. A.; Lacroix, Christian R.
n-Transitivity and the complementation propertyLivshits, L.; MacDonald, Gordon W.
Distance from projections To nilpotentsMacDonald, Gordon W.
Towards a classification of maximal unicellular bandsFillmore, P.; MacDonald, Gordon W.; Radjabalipour, M.; Radjavi, H.
Hilbert spaces of q-shifted factorial seriesMacDonald, Gordon W.
Invariant subspaces for Bishop-type operatorsMacDonald, Gordon W.
Iterative solutions to the Dirac equationCiftci, H.; Hall, R. L.; Saad, Nasser
Perturbation theory in a framework of iteration methodsCiftci, H.; Hall, R. L.; Saad, Nasser
Eigenvalue comparisons for quantum systems in a boxHall, R. L.; Saad, Nasser
Recursive procedures for measuring disorder in non-periodic sequencesSulston, Kenneth W.; Burrows, B. L.; Chishti, A. N.
A short-story of sinDavison, S. G.; Miskovic, Z. L.; Amos, A. T.; Burrows, B. L.; Goodman, F. O.; Sulston, Kenneth W.
Generalized measures for physical properties of nonperiodic chainsBurrows, B. L.; Sulston, Kenneth W.
Electronic structure of the arsenic-passivated Si(111) surfaceEngle, W. P.; Sulston, Kenneth W.; Bose, S. M.
Effects of a laser field on surface-ion neutralizationGoodman, F. O.; Sulston, Kenneth W.; Lindsay, R. I.; Davison, S. G.
Many-electron theory of laser-assisted surface-ion neutralizationSulston, Kenneth W.; Davison, S. G.; Goodman, F. O.; Lindsay, R. I.
Many-electron theory of resonant charge transfer: Role of surface states in He and He+ scattering off Si(100)Burrows, B. L.; Amos, A. T.; Davison, S. G.; Sulston, Kenneth W.
A Green function theory of the electronic structure of metal disilicide surfaces and their interfaces with siliconSulston, Kenneth W.; Bose, S. M.
Measurement of disorder in non-periodic sequencesBurrows, B. L.; Sulston, Kenneth W.
Pseudo-state theory of surface ion neutralizationBurrows, B. L.; Sulston, Kenneth W.; Amos, A. T.; Davison, S. G.
Theory of Resonant Charge Transfer in Atom-Surface ScatteringAmos, A. T.; Sulston, Kenneth W.; Davison, S. G.
2-channel surface ion neutralizationSulston, Kenneth W.; Amos, A. T.; Davison, S. G.
Many-electron treatment of quasi-resonant ion neutralization at solid surfacesAmos, A. T.; Sulston, Kenneth W.; Davison, S. G.
Numerical studies of surface-ion neutralizationSulston, Kenneth W.; Amos, A. T.; Davison, S. G.
Chemisorption on binary alloys with long-range orderSulston, Kenneth W.; Bose, S. M.
Adsorption effects on resonant charge transfer in atom-surface scattering Sulston, Kenneth W.; Amos, A. T.; Davison, S. G.
Chemisorption on supported-metal catalystsDavison, S. G.; Bose, S. M.; Sulston, Kenneth W.
Many-electron theory of charge transfer in ion-surface scatteringSulston, Kenneth W.; Amos, A. T.; Davison, S. G.
Comparative study of approximate theoretical treatments of surface-ion neutralizationSulston, Kenneth W.; Amos, A. T.; Davison, S. G.
Role of surface states in ion scatteringSulston, Kenneth W.; Davison, S. G.; Amos, A. T.
Rosen-Zener approximation in surface-ion scattering theoryAmos, A. T.; Davison, S. G.; Sulston, Kenneth W.
Methodology for ion neutralization at solid/electrolyte interfacesDavison, S. G.; Sulston, Kenneth W.; Amos, A. T.
Chemisorption on disordered binary alloysSulston, Kenneth W.; Davison, S. G.; Liu, W. K.
Surface density of states in the many-neighbor approximationDavison, S. G.; Lavis, D. A.; Sulston, Kenneth W.
Chemisorption on contaminated metalsSulston, Kenneth W.; Davison, S. G.; Liu, W. K.
N‐interface problem revisitedDavison, S. G.; Sulston, Kenneth W.
Models in which every nonmeager set is nonmeager in a nowhere dense Cantor setBurke, Maxim R.; Miller, A. W.
Sets on which measurable functions are determined by their rangeBurke, Maxim R.; Ciesielski, K.
Characterizing uniform continuity with closure operationsBurke, Maxim R.
Liftings for noncomplete probability spacesBurke, Maxim R.
Liftings and the property of Baire in locally compact groupsBurke, Maxim R.
Linear liftings for noncomplete probability spacesBurke, Maxim R.; Shelah, S.
Liftings for Haar measure on (0,1)KBurke, Maxim R.; Just, W.
Powers of the ideal of Lebesgue measure zero setsBurke, Maxim R.
Shelah's pcf theory and its applicationsBurke, Maxim R.; Magidor, M.
Weakly dense subsets of the measure algebraBurke, Maxim R.
A note on measurability and almost continuityBurke, Maxim R.; Fremlin, D. H.
Punctually countable coverings by means of negligible setsBurke, Maxim R.
Nested chain partitions of Hamiltonian filtersHorrocks, D. G. C.
Summary results from a pilot study conducted around an oil production platform on the Northwest shelf of AustraliaKing, S. C.; Johnson, J. E.; Haasch, M. L.; Ryan, D. A. J.; Ahokas, J. T.; Burns, K. A.
On automorphisms of order 3 of division algebrasSweet, Lowell G.; Macdougall, J. A.
4-dimensional homogenous algebrasSweet, Lowell G.; Macdougall, J. A.
Algebras with transitive automorphism groupsSweet, Lowell G.; Macdougall, J. A.
Electronic bath approach to thermal effects in ion-surface scatteringSulston, Kenneth W.; Goodman, F. O.
Balancing selection on sizeAubin-Horth, N.; Ryan, D. A. J.; Good, S. P.; Dodson, J. J.
A proof of Hechler's theorem on embedding N-1-directed sets cofinally into (omega(omega), Burke, Maxim R.
The influence of 1-MCP on shelf-life quality of highbush blueberryDeLong, J. M.; Prange, R. K.; Bishop, C.; Harrison, P. A.; Ryan, D. A. J.
Hechler's theorem for the null idealBurke, Maxim R.; Kada, M.
On Lih's conjecture concerning spernerityHorrocks, D. G. C.
Recoil effects on charge transfer in atom-surface scatteringSulston, Kenneth W.; Davison, S. G.
Ultrastructural and secretory heterogeneity of fa/fa (Zucker) rat isletsChan, Catherine B.; Wright, Glenda M.; Wadowska, D. W.; MacPhail, R. M.; Ireland, W. P.; Sulston, Kenneth W.
Health benefits of a pedometer-based physical activity intervention in sedentary workersChan, Catherine B.; Ryan, D. A.; Tudor-Locke, C.
Use of infrared spectroscopy for diagnosis of traumatic arthritis in horsesVijarnsorn, M.; Riley, Christopher B.; Shaw, R. A.; McIlwraith, C. W.; Ryan, D. A.; Rose, Patricia L.; Spangler, Elizabeth
In vitro heterogeneity of osteogenic cell populations at various equine skeletal sitesMcDuffee, Laurie A.; Anderson, G. I.; Wright, Glenda M.; Ryan, D. A.

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