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Fredholm Type Integral Equations and Certain Polynomials

V. B. L. Chaurasia|A. S. Shekhawat
경북대학교 자연과학대학 수학과|2005.12|Kyungpook Mathematical Journal|제45권 제4호|pp. 471-480

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Abstract

This paper deals with some useful methods of solving the one-dimensionalintegral equation of Fredholm type. Application of the reduction techniques with a viewto inverting a class of integral equation with Lauricella function in the kernel, Riemann-Liouville fractional integral operators as well as Weyl operators have been made to reduceto this class to generalized Stieltjes transform and inversion of which yields solution ofthe integral equation. Use of Mellin transform technique has also been made to solve theFredholm integral equation pertaining to certain polynomials and H -functions.

참고문헌 (17)

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관련 논문AI추천

Certain Class of Multidimensional Convolution Integral Equations Involving a Generalized Polynomial SetJamal Mohammed Shenan, Tariq Omar Salim경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제3호On Finite Integrals Involving JacobiPolynomials and the -functionRajendra P. Sharma경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호Solution to some singular integro-differential equations II？F. Seifeddine, J. N. Pandey장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호Some recurrence relations of multiple orthogonal polynomials이동원대한수학회 · 대한수학회지2005 · 제42권 제4호Certain Fredholm type integral equations and fractional operators associated with modified incomplete I-functionANIL KUMAR YADAV, RUPAKSHI MISHRA PANDEY, VISHNU NARAYAN MISHRA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호Finite orthogonal polynomials satisfying a second order differential equation유병훈, 이동원대한수학회 · 대한수학회논문집2005 · 제20권 제4호

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