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Certain recurrence relations

Published online by Cambridge University Press:  24 October 2008

M. A. Pathan
M. A. Pathan
Affiliation:
University of Rajasthan, Jaipur, India
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Extract

Slater ((5), p. 27) and Bose ((1), p. 202) have obtained certain recurrence relations about Whittaker and hypergeometric functions. In this note an attempt has been made to obtain generalizations of these recurrence relations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 1045 - 1048
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Bose, S. K.On some new properties of generalised Laplace transform. Bull. Calcutta Math. Soc. 42 (1950), 199–206.Google Scholar
(2)Erdelyi, A.Tables of integral transforms, vol. I (McGraw Hill, New York).Google Scholar
(3)Erdelyi, A.Tables of integral transforms, vol. II (McGraw Hill, New York).Google Scholar
(4)Goldstein, S.Operational representation of Whittaker's confluent hypergeometric functions and Weber's parabolic cylinder function. Proc. London Math. Soc. 34 (1932), 103–125.Google Scholar
(5)Slater, L. J.Confluent hypergeometric functions (Cambridge University Press, 1960).Google Scholar