Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-05T03:23:56.102Z Has data issue: false hasContentIssue false

A Note on Double Transformations of Certain Hypergeometric Functions

Published online by Cambridge University Press:  20 January 2009

R. P. Singh
Affiliation:
Motilal Vigyan Mahavidyalaya, Bhopal (M.P.), India
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Rainville (6) has discussed the following Euler transformation of the hypergeometric function

Type
Research Article
Copyright
Copyright Edinburgh Mathematical Society 1965

References

REFERENCES

(1) Abdul-Halim, and Al-Salam, , Double transformation of certain hypergeometric functions, Duke Math. J. 30 (1963), 5162.CrossRefGoogle Scholar
(2) Buchholz, H., Die konfluente hypergeometrische Funktion (Berlin-Gttingen Heidelberg, 1953), p. 142.CrossRefGoogle Scholar
(3) Edwards, J., A Treatise on Integral Calculus (London, 1922), p. 177.Google Scholar
(4) Erdlyi, A., Higher Transcendental Functions, Vol. I (McGraw-Hill, 1953).Google Scholar
(5) Erdlyi, A., Higher Transcendental Functions, Vol. III (McGraw-Hill, 1953).Google Scholar
(6) Rainville, E. D., Special Functions (Macmillan Co., New York, 1960).Google Scholar