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On Appell's function F2
Published online by Cambridge University Press: 24 October 2008
Extract
1. It has been observed that certain problems in quantum mechanics have their exact solutions which can be expressed in terms of Appell's function F2 as defined by (e.g. (7), p. 211)
Having regard to this fact, Srivastava (5) proved a summation formula
where R(λ) > 1, R(α) > − 1 and x⇌y indicates the presence on the right of a second term that originates from the first by interchanging x and y.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 687 - 689
- Copyright
- Copyright © Cambridge Philosophical Society 1969
References
REFERENCES
(2)Manocha, H. L. and Sharma, B. L.Some bilinear generating functions for Jacobi polynomials. Proc. Cambridge Philos. Soc. 63 (1967).Google Scholar
(4)Sharma, B. L.Integrals involving hypergeometric functions of two variables. Proc. Nat. Acad. Sci. India Sect. A (in the Press).Google Scholar
(5)Srivastava, H. M.On a summation formula for the Appell function F2. Proc. Cambridge Philos. Soc. 63 (1967), 1087–1089.CrossRefGoogle Scholar