Expansion in series of Bessel functions and transmutations for perturbed Bessel operators

DOI10.1006/JMAA.1994.1058zbMath0799.34079OpenAlexW2085240428MaRDI QIDQ1323076

V. Pereyra

Publication date: 9 May 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1058

zbMATH Keywords

uniform convergencetransmutation operatorperturbed Bessel operators

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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Expansion and asymptotic in terms of basic Bessel functions ⋮ A local two radii theorem on the Chébli-Trimèche hypergroup ⋮ A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations ⋮ Spectral parameter power series for perturbed Bessel equations ⋮ A transmutation operator method for solving the inverse quantum scattering problem ^* ⋮ Some Recent Developments in the Transmutation Operator Approach ⋮ Expansion in Terms of Appropriate Functions and Transmutations ⋮ On a series representation for integral kernels of transmutation operators for perturbed Bessel equations ⋮ Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions ⋮ POLYNOMIALS EXPANSIONS FOR SOLUTION OF WAVE BESSEL EQUATION IN QUANTUM CALCULUS ⋮ Expansion in terms of gegenbauer polynomials for solutions of a perturbed gegenbauer differrential equation ⋮ Transformation operators for spherical Schrödinger operators ⋮ Partial differential equations with matricial coefficients and generalized translation operators

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