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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An infinite integral involving Meijer $G$-function
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by K. L. Arora and K. Kulshreshtha
Proc. Amer. Math. Soc. 26 (1970), 121-125
DOI: https://doi.org/10.1090/S0002-9939-1970-0261045-9
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Abstract:

In this note an infinite integral involving Meijer $G$-function and confluent hypergeometric functions is evaluated. Some particular cases of this integral are also discussed. The method used is based on operational calculus.
References
    A. Erdélyi et al., Higher transcendental functions. Vol. I, McGraw-Hill, New York, 1953. MR 15, 419.
  • C. S. Meijer, On the $G$-function. I, Nederl. Akad. Wetensch., Proc. 49 (1946), 227–237 = Indagationes Math. 8, 124–134 (1946). MR 17452
  • L. J. Slater, Confluent hypergeometric functions, Cambridge University Press, New York, 1960. MR 0107026
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 26 (1970), 121-125
  • MSC: Primary 33.21
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0261045-9
  • MathSciNet review: 0261045