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[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] Using the orthonormality of the 2D-Zernike polynomials reproducing kernels, reproducing kernel Hilbert spaces and ensuing coherent states are attained. With the aid of the so obtained coherent states the complex unit disc is quantized. Associated upper symbols, lower symbols and related generalized ... |

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[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] An approximate solution of the Klein-Gordon equation for the general Hulthen-type potentials in D -dimensions within the framework of an approximation to the centrifugal term is obtained. The bound state energy eigenvalues and the normalized eigenfunctions are obtained in terms of hypergeometric pol... |

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[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... |

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[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... |

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[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] The generalized hypergeometric function $_qF_p$ is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions $_2F_1$ and $_3F_2$ are most common special cases of the generalized hypergeometric function $_qF_p$. The Appe... |

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[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] Infinite series, Sigma(n=1)(infinity) (alpha/2)(n)/n 1/n! F-1(1)(-n, gamma, x(2)), where F-1(1)(-n, gamma, x(2)) = n!/(gamma)(n) L-n((gamma-1))(x(2)), appear in the first-order perturbation correction for the wavefunction of the generalized spiked harmonic oscillator Hamiltonian H = -d(2)/dx(2) + Bx... |

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