FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the uniform bounds on hypergeometric function |
Frolenkov D.A. |
2015, issue 2, P. 288-298 |
Abstract |
| A uniform asymptotic formula for hypergeometric function is obtained. |
Keywords: hypergeometric function, Mellin-Barnes integral |
Download the article (PDF-file) |
References |
| [1] Balkanova O.G., Frolenkov D.A., "A uniform asymptotic formula for the second moment of primitive L-functions of prime power level", preprint. [2] Bykovskij V.A., Frolenkov D.A., "O vtorom momente L-rjadov golomorfnyh parabolicheskih form na kriticheskoj prjamoj", DAN. Matematika, 463:2 (2015), 133-136. [3] Motohashi Y., "The binary additive divisor problem", Ann. Sci. Ecole Norm. Sup., 27 (1994), 529-572. [4] Ivic A., Motohashi Y., "The moments of the Riemann zeta-function Part I: The fourth moment off the critical line", Functiones et Approximatio, 35 (2006), 133-181. [5] Olver F.W.J., Lozier D.W., Boisvert R.F., Clark C.W., NIST Handbook of Mathematical Functions, Nat. Inst. of Stand. and Tech. and Cam. Univ. Press, Cambridge, 2010. |