The Journal of the Indian Mathematical Society

K. N. Srivastava

Abstract

Recently Carlitz [1, 2, 3] studied some polynomials related to the ultraspherical and Jacobi's polynomials. By means of these polonomials various formulae involving ultraspherical and Jacobi's polynomials can be inverted. Following Carlitz we define some polynomials related to the Laguerre polynomial.

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K. N. Srivastava ¹

Affiliations
1 M.A. College of Technology, Bhopal (M.P.),, IN

Abstract

In the anah'sis of mixed boundary value problems by the use of Hankel's transforms we often obtain pairs of dual integral equations which can be written in the form.

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K. N. Srivastava ¹

Affiliations
1 Department of Mathematics, M. A. College of Technology, Bhopal, IN

Abstract

Consider the dual integral equations

∫ u^x Φ(u) J_v(xu) du = f(x) (0 < x < 1)

∫Φ(u) J_v(xu) du = g(x) (x>1)

where f(x) and g(x) are given and Φ(u) is to be found.

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