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Definite integrals involving G-functions

Published online by Cambridge University Press:  24 October 2008

R. K. Saxena
R. K. Saxena
Affiliation:
Maharana Bhupal CollegeUdaipur (India)
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Extract

The main aim of the present note is to evaluate certain definite integrals involving Meijer's G-function. The results proved are of general character and include as particular cases some of the results given earlier by MacRobert ((3), p. 81). For the definitions and properties of the G-functions see (1), §§5·3 and 5·3·1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 3 , July 1962 , pp. 489 - 491
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Ebdélyi, A. et al. Higher transcendental functions, vol. I (McGraw-Hill; New York, 1953).Google Scholar
(2)MacRobert, T. M., Infinite series of E-functions. Math. Z. 71 (1959), 143–145.CrossRefGoogle Scholar
(3)MacRobert, T. M., Fourier series for E-functions. Math. Z. 75 (1961), 79–82.CrossRefGoogle Scholar