Results 81 to 90 of about 5,448,308 (166)
DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
, 2011 Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument ...
Vidunas, Raimundas
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On Some Fractional Integral Operators Involving Generalized Gauss Hypergeometric Functions [PDF]
, 2010 The object of this paper is to give a generalization of Gauss hypergeometric function, and to investigate its basic properties. Further, we define some fractional integral operators and their inverses in terms of the Mellin transform.
Virchenko, N. +2 more
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Potential of a Spheroid with Generalized Exponential Density Distribution
Open Astronomy, 2015 The internal potential of an inhomogeneous layered spheroid with a small ellipticity and general exponential density distribution is derived in an analytical form.
Kondratyev B. P., Kireeva E. N.
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A procedure for generating infinite series identities
International Journal of Mathematics and Mathematical Sciences, 2004 A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
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, 2012 Monodromy representations on the space of solutions of the Gauss hypergeometric equation are studied by using integrals of a multivalued function. We first establish the fact that any solution of the Gauss hypergeometric equation is expressed by the ...
Mimachi, Katsuhisa +3 more
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Functional reduction of Feynman integrals
Journal of High Energy Physics, 2019 A method for reducing Feynman integrals, depending on several kinematic variables and masses, to a combination of integrals with fewer variables is proposed. The method is based on iterative application of functional equations proposed by the author. The
O. V. Tarasov
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A note on the new extended beta and gauss hypergeometric functions [PDF]
, 2018 A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and ...
Araci, Serkan +9 more
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Asymptotics of a Gauss hypergeometric function related to moments of symmetric-square $L$-functions II [PDF]
We prove an asymptotic formula for $F\left(1/4-it+ir,1/4-it-ir,1/2;x \right)$ as $r, t\to\infty$ and $α=r/t\to0.$ This special case of the Gauss hypergeometric function appears in the explicit formula for the first moment of Maass form symmetric-square ...
Frolenkov, Dmitry
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Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x) [PDF]
, 2012 We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer.
A. R. Miller +3 more
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Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I [PDF]
We prove an asymptotic formula for a special case of the Gauss hypergeometric function which arises in explicit formulas for moments of Maass form symmetric square L-functions.
Balkanova, Olga
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