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Series identities and reducibility of Kampé de Fériet functions

Published online by Cambridge University Press:  24 October 2008

R. G. Buschman
Affiliation:
University of Wyoming, U.S.A.
H. M. Srivastava
Affiliation:
University of Victoria, B.C., Canada

Extract

The work of H. M. Srivastava (9) on generalizations of an interesting identity of Carlson is expanded upon in order to obtain series identities analogous to all four of the Appell functions and their generalizations. Reduction formulas for some Kampé de Fériet functions are derived as consequences of the various double-series identities considered in this paper.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

REFERENCES

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