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On an integral involving the H-function

Published online by Cambridge University Press:  09 April 2009

U. C. Jain
Affiliation:
Department of MathematicsUniversity of UdaipurUdaipur, India
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Abstract

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The aim of this note is to evaluate an integral involving the product of two H-functions.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1968

References

[1]Braaksma, B. L. J., ‘Asymptotic expansions and analytic continuations for a class of Barnes-integrals’, Compositio Mathematica (1963).Google Scholar
[2]Bromwich, T. J., Theory of infinite series (London, 1926).Google Scholar
[3]Fox, C., ‘The G- and H-functions as symmetrical Fourier kernels’, Trans. Amer. Math. Soc. 98 (1961), 408.Google Scholar
[4]Goldstein, S., ‘Operational representation of Whittaker's confluent hypergeometric function and Weber's parabolic cylinder function’, Lond. Math. Soc. 34 (1932), 103125.Google Scholar
[5]Gupta, K. C., A study of Meijer transforms (Thesis approved for Ph.D. degree, University of Rajasthan, 1966).Google Scholar
[6]Gupta, K. C. and Jain, U. C., ‘The H-function-II’, Proc. Nat. Acad. Sci. India (in press).Google Scholar
[7]Saxena, R. K., ‘An integral involving products of G-functions’, Proc. Nat. Acad. Sciences 36 (1966), 4748.Google Scholar
[8]Wright, E. M., ‘The asymptotic expansion of the generalized Bessel functions’, Proc. Lond. Math. Soc. 38 (1935), 257270.Google Scholar