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Integral representations of generalized Lauricella hypergeometric functions

International Journal of Mathematics and Mathematical Sciences, 1992
The generalized hypergeometric function was introduced by Srivastava and Daoust. In the present paper a new integral representation is derived. Similarly new integral representations of Lauricella and Appell function are obtained.
Vu Kim Tuan, R. G. Buschman
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Tables of the Lauricella Hypergeometric Functions F^(3)_A

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
The generalized hypergeometric function q​Fp​ is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1​ and 3F3​ are most common special cases of the generalized ...
Abbasova, M.O., Ergashev, T.G.
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Feynman integrals, hypergeometric functions and nested sums

, 2009
Bejdakic E. Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University; 2009.In this thesis, we present analytical expansion results of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions ...
Bejdakic, Ervin
core  

Tree-level gluon amplitudes on the celestial sphere

Physics Letters B, 2018
Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes.
Anders Ø. Schreiber, Anastasia Volovich, Michael Zlotnikov   +2 more
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Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples

Partial Differential Equations in Applied Mathematics
In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in their ...
Enes Ata, İ Onur Kıymaz, Praveen Agarwal, Shilpi Jain, Shaher Momani   +4 more
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A Look at Generalized Trigonometric Functions as Functions of Their Two Parameters and Further New Properties

Mathematics
Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade.
Dmitrii Karp, Elena Prilepkina
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Certain values of Hecke L-functions and generalized hypergeometric functions

, 2011
We compare two calculations due to Bloch and the author of the regulator of an elliptic curve with complex multiplication which is a quotient of a Fermat curve, and express the special value of its L-function at s=0 in terms of special values of ...
Otsubo, Noriyuki, Noriyuki Otsubo
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Applications of Generalized Hypergeometric Distribution on Comprehensive Families of Analytic Functions

Mathematics
A sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary, Basem Frasin, Ibtisam Aldawish   +2 more
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Certain Integrals of Generalized Hypergeometric and Confuent Hypergeometric Functions

, 2017
In this paper, we aim at establishing certain finite integral formulas for the generalized Gauss hypergeometric and confluent hypergeometric functions. Furthermore, the$F^{(\alpha ,\beta)}_p(a,b;c;z)$-function occurring in each of our main results can be
Kumar, Dinesh
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Value of Generalized Hypergeometric Function at Unity [PDF]

, 1997
Value of generalized hypergeometric function at a special point is calculated. More precisely, value of certain multiple integral over vanishing cycle (all arguments collapse to unity) is calculated. The answer is expressed in terms of $Γ$-functions.
openaire   +2 more sources