Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials

DOI10.1088/0305-4470/36/28/307zbMath1030.33008arXivmath-ph/0306043OpenAlexW1990920005MaRDI QIDQ4426266

Nasser Saad, Richard L. Hall

Publication date: 16 September 2003

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0306043

zbMATH Keywords

Laplace transformmatrix elementsAppell's double hypergeometric functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace transform (44A10) Appell, Horn and Lauricella functions (33C65)

Related Items (8)

Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions ⋮ Representation of the Coulomb matrix elements by means of Appell hypergeometric function \(F_2\) ⋮ Further investigations on the two variables second Appell hypergeometric matrix function ⋮ New Fourier transform containing a pair of complex Euler Γ-functions with a monomial: Mathematical and physical applications ⋮ Applications of extended Watson's summation theorem ⋮ On the definite integral of two confluent hypergeometric functions related to the Kampé de Fériet double series ⋮ Some reduction and transformation formulas for the Appell hypergeometric function \(F_{2}\) ⋮ Eigenvalue asymptotics for the Maass Hamiltonian with decreasing electric potentials

This page was built for publication: Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials