An Integral Equation Involving Legendre Functions

DOI10.1137/0112002zbMath0178.14401OpenAlexW2087101294MaRDI QIDQ5564670

Arthur Erdélyi

Publication date: 1964

Published in: Journal of the Society for Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/12095/

zbMATH Keywords

integral equations, integral transforms

Related Items (35)

Convolution integral equations with Gegenbauer function kernel ⋮ Some Integral Equations Involving Hypergeometric Functions ⋮ Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials ⋮ On the fractional calculus of multivariate Mittag-Leffler functions ⋮ An expansion theorem involving \(H\)-function of several complex variables ⋮ On the importance of conjugation relations in fractional calculus ⋮ The use of fractional derivatives to expand analytical functions in terms of quadratic functions with applications to special functions ⋮ On some fractional operators generated from Abel's formula ⋮ Unnamed Item ⋮ Incommensurate multi‐term fractional differential equations with variable coefficients with respect to functions ⋮ On Laplace transforms with respect to functions and their applications to fractional differential equations ⋮ A fractional Borel–Pompeiu type formula and a related fractional ψ−$$ \psi - $$Fueter operator with respect to a vector‐valued function ⋮ On differential equations involving the ψ$$ \psi $$‐shifted fractional operators ⋮ Properties of fractional calculus with respect to a function and Bernstein type polynomials ⋮ On tempered fractional calculus with respect to functions and the associated fractional differential equations ⋮ On Buschman-Erdelyi and Mehler-Fock transforms related to the group 𝑆𝑂0(3, 1) ⋮ Remark on certain transformations for multiple hypergeometric functions ⋮ One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels ⋮ Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives ⋮ A new Leibniz rule and its integral analogue for fractional derivatives ⋮ Generalized substantial fractional operators and well-posedness of Cauchy problem ⋮ Existence results for nonlinear neutral generalized Caputo fractional differential equations ⋮ A unified radon inversion formula ⋮ Tempered and Hadamard-type fractional calculus with respect to functions ⋮ L^p-bounded operators involving generalized hypergeometric functions ⋮ Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus ⋮ On fractional calculus with analytic kernels with respect to functions ⋮ Integral transforms with the Legendre function of the first kind in the kernels on -spaces ⋮ Singular perturbation analysis of a certain Volterra integral equation ⋮ New expansion formulas for a family of the \(\lambda\)-generalized Hurwitz-Lerch zeta functions ⋮ On some further hypergeometric series identities obtained via fractional calculus ⋮ Further results involving a class of generalized Hurwitz-Lerch zeta functions ⋮ Some integral equations involving finite parts of divergent integrals ⋮ A procedure for deriving inversion formulae for integral transform pairs of a general kind ⋮ Generalized Mellin transform and its applications in fractional calculus

This page was built for publication: An Integral Equation Involving Legendre Functions