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Some Bessel Function Integrals

Published online by Cambridge University Press:  18 May 2009

T. M. MacRobert
T. M. MacRobert
Affiliation:
University of Glasgow
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The basic formula to be proved is

where p≧q + 1, z ≠0; | amp z | < π, R(n)>0, r = 1, 2,…,p. For other values of pand qthe result holds if the integral converges. From this formula some results, involving Bessel functions and Confluent Hypergeometric functions, will be deduced.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 2 , Issue 4 , February 1956 , pp. 183 - 184
Copyright
Copyright © Glasgow Mathematical Journal Trust 1956