Accession Number:

AD0293456

Title:

AN INVERSION INTEGRAL FOR A GEGENBAUER TRANSFORMATION

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s):

Report Date:

1962-10-01

Pagination or Media Count:

1.0

Abstract:

Iden ifiers Gegenbauer polynomials, Legendre polynomials, Chebyshev polynomials. T Li, a new class of integral transforms, obtained an integral inversion formula for an integral transformation where the kernel involved a Chebyshev polynomial of the first kind, and more recently Buschman obtained the integral inversion formula for a similar integral transformation where the kernel is a Legendre polynomial. An integral inversion formula is established for an integral transformation which contains the Gegenbauer polynomial in the kernel. The transforms obtained by Li and Buschman are both special cases of this transform pair. The general integral equation given here can always be inverted by an integral which involves Legendre polynomials or by one which involves Chebyshev polynomials. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE