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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
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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