Inversion Integrals Involving Jacobi's Polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 1964Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 15, page 635 (issn: 0002-9939,

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Authors: Srivastava, K. N.;

doi: 10.2307/2034764 , 10.1090/s0002-9939-1964-0162989-6

Inversion Integrals Involving Jacobi's Polynomials

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Abstract

These standardizations for 13= 1/2 reduce to the standardized Gegenbauer polynomials used by Buschman when k is an even integer in [2]. Thus the results of [2] are particular cases of those given here when k is an even integer. A generalization, for the case when k is an odd integer in the standardizations used by Buschman, appears to be impossible. This is due to the fact that the solution to the integral equation in this case is expressible in terms of some other function as kernel. Consider the integral equations

Keywords

integral equations, integral transforms

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