Results 31 to 40 of about 760 (93)
Two-loop kite master integral for a correlator of two composite vertices
Journal of High Energy Physics, 2019 We consider the most general two-loop massless correlator I(n 1 , n 2 , n 3 , n 4 , n 5; x, y; D) of two composite vertices with the Bjorken fractions x and y for arbitrary indices {n i } and space-time dimension D; this correlator is represented by a ...
S. V. Mikhailov, N. Volchanskiy
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Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d [PDF]
, 2018 The long-standing problem of representing the general massive one-loop Feynman integral as a meromorphic function of the space-time dimension $d$ has been solved for the basis of scalar one- to four-point functions with indices one.
Phan, Khiem Hong, Riemann, Tord
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Advances in High Energy Physics, Volume 2018, Issue 1, 2018., 2018 Nonsingular Ayon‐Beato‐Garcia (ABG) spherically symmetric static black hole (BH) with charge to mass ratio q = g/2m is metric solution of Born Infeld nonlinear Maxwell‐Einstein theory. Central region of the BH behaves as (anti‐)de Sitter for (|q | > 1) | q | < 1.
H. Ghaffarnejad +3 more
wiley +1 more source
Average SEP of AF Relaying in Nakagami‐m Fading Environments
Wireless Communications and Mobile Computing, Volume 2018, Issue 1, 2018., 2018 This paper is devoted to an investigation of an exact average symbol error probability (SEP) for amplify and forward (AF) relaying in independent Nakagami‐m fading environments with a nonnegative integer plus one‐half m, which covers many actual scenarios, such as one‐side Gaussian distribution (m = 0.5).
Dong Qin +3 more
wiley +1 more source
Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
doaj
New Expansion Formulas for a Family of the λ‐Generalized Hurwitz‐Lerch Zeta Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We derive several new expansion formulas for a new family of the λ‐generalized Hurwitz‐Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and ...
H. M. Srivastava +2 more
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Confluence of hypergeometric functions and integrable hydrodynamic type systems
, 2016 It is known that a large class of integrable hydrodynamic type systems can be constructed through the Lauricella function, a generalization of the classical Gauss hypergeometric function. In this paper, we construct novel class of integrable hydrodynamic
Kodama, Y., Konopelchenko, B.
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Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 In investigation of boundary‐value problems for certain partial differential equations arising in applied mathematics, we often need to study the solution of system of partial differential equations satisfied by hypergeometric functions and find explicit linearly independent solutions for the system.
Maged G. Bin-Saad +2 more
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On computing some special values of hypergeometric functions
, 2014 The theoretical computing of special values assumed by the hypergeometric functions has a high interest not only on its own, but also in sight of the remarkable implications to both pure Mathematics and Mathematical Physics.
Ritelli, Daniele +1 more
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Euler Type Integrals and Integrals in Terms of Extended Beta Function
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials.
Subuhi Khan +2 more
wiley +1 more source