Far Eastern Mathematical Journal

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Some integral representations of hypergeometric function

Bykovskii V. A., Frolenkov D. A.

2015, issue 1, P. 38-40

Abstract

In this article we prove two integral representations of hypergeometric function.

Keywords: spectral theory of automorphic functions, convolution identity, hyperheometric function

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References

[1] N. V. Kuznecov, “Svjortka kojefficientov Fur'e rjadov Jejzenshtejna–Maassa”, Zap. nauchn. seminar LOMI, 129 (1983), 43–84. [2] V. Bykovskii, N. Kuznetsov, A. Vinogradov, “Generalized summation formula for inhomogeneous convolution”, In Automorphic functions and their applications, Acad. Sci. USSR Inst. Appl. Math., Khabarovsk, 1990, 18–63. [3] V. A. Bykovskij, D. A. Frolenkov, “O vtorom momente L-rjadov golomorfnyh parabolicheskih form na kriticheskoj prjamoj”, Doklady Akademii nauk, 463:2 (2015), 1–4. [4] G. Bejtmen, A. Jerdeji, Vysshie transcendentnye funkcii II, "Nauka", M., 1974.

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