The Journal of the Indian Mathematical Society

D. P. Banerjee ¹

Affiliations
1 Mymensingh (Bengal), IN

Abstract

S. C. Mitra has found certain integral relations between Bessel and Legendre functions of positive integral degree. Here I shall find the integral relations between Bessel and Legendre functions of unrestricted degree and express the sums of certain series as definite integrals.

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D. P. Banerjee ¹

Affiliations
1 A. M. College, Mymensingh, IN

Abstract

The function q_n(z) is used in certain problems connected with the spheroid, and is closely related to the Legendre function of the second kind.

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D. P. Banerjee ¹

Affiliations
1 A. M. College, Mymensingh, IN

Abstract

Even though Bourget's hypothesis on the zeros of Bessel Functions is still unproved, it is possible to prove that J_n and J_n+m have no common zeros for restricted values of n and m.

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