Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-28T14:28:45.253Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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