An infinite integral involving Meijer $G$-function
Authors:
K. L. Arora and K. Kulshreshtha
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
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Abstract | References | Similar Articles | Additional Information
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.
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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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Additional Information
Keywords:
Operational calculus,
infinite integral,
confluent hypergeometric functions,
special functions,
absolute convergence
Article copyright:
© Copyright 1970
American Mathematical Society