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[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] Some new relations for the Appell function F 1 (a, b, b′; c; w, z) are obtained including differentiation and integration formulas, integral representations, series and recurrence relations. Some integrals are given which can be expressed in terms of F 1 and confluent Appell functions (Humbert fun... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] The d-dimensional Schrödinger's equation is analyzed with regard to the existence of exact solutions for polynomial potentials. Under certain conditions on the interaction parameters, we show that the polynomial potentials V8(r) = ∑k = 18αkrk,α8>0 and V10(r) = ∑k = 110αkrk,α10>0 are exactly... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] We analyze the polynomial solutions of the linear differential equation p2(x)y″+p1(x)y′+p0(x)y=0 where pj(x) is a jth-degree polynomial. We discuss all the possible polynomial solutions and their dependence on the parameters of the polynomials pj(x). Special cases are related to known differenti... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] The asymptotic iteration method is used to find exact and approximate solutions of Schrödinger’s equation for a number of one-dimensional trigonometric potentials (sine-squared, double-cosine, tangent-squared, and complex cotangent). Analytic and approximate solutions are obtained by first using ... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] Shannon entropy for the position and momentum eigenstates
of an asymmetric trigonometric Rosen–Morse potential
for the ground and first excited states is evaluated. The
position and momentum information entropies Sx and Sp
are calculated numerically. Also, we find that S1
x is obtained
analyticall... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] A tensorial Green-function treatment of the electronic transmission properties of an atomic wire T-junction is presented within the framework of the tight-binding approximation. The adoption of the tensorial formalism enables overlap effects to be included in a straightforward manner, without the ne... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] We analyze the polynomial solutions of the linear differential equation where is a -degree polynomial. We discuss all the possible polynomial solutions and their dependence on the parameters of the polynomials . Special cases are related to known differential equations of mathematical physics. Class... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] In this article we study a natural weakening – which we refer to as paratransitivity – of the well-known notion of transitivity of an algebra AA of linear operators acting on a finite-dimensional vector space VV. Given positive integers k and m, we shall say that such an algebra AA is (k,m)(k,m)... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] In this paper, the authors continue the analysis, first undertaken in Livshits et al. (2013) [2], of algebras AA of linear transformations on an n-dimensional complex vector space VV which have the property that if WW is a k-dimensional subspace of VV, then the image of WW under the action of the al... |