Results 41 to 50 of about 5,729 (101)
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
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.
core +1 more source
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
wiley +1 more source
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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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
wiley +1 more source
Response functions in multicomponent Luttinger liquids
, 2012 We derive an analytic expression for the zero temperature Fourier transform of the density-density correlation function of a multicomponent Luttinger liquid with different velocities.
Citro, R., Orignac, E.
core +3 more sources
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
Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process
, 2009 In this paper, we propose a general way of computing expectation values in the zero-range process, using an exact form of the partition function. As an example, we provide the fundamental diagram (the flux-density plot) of the asymmetric exclusion ...
Erdélyi A +7 more
core +1 more source
Decomposition Formulas for Triple q‐Hypergeometric Functions
International Journal of Combinatorics, Volume 2014, Issue 1, 2014., 2014 In the spirit of Hasanov, Srivastava, and Turaev (2006), we introduce new inverse operators together with a more general operator and find a summation formula for the last one. Based on these operators and the earlier known q‐analogues of the Burchnall‐Chaundy operators, we find 15 symbolic operator formulas.
Thomas Ernst, R. Yuster
wiley +1 more source
High-precision numerical evaluation of Lauricella functions
Nuclear Physics BWe present a method for high-precision numerical evaluations of Lauricella functions whose indices are linearly dependent on some parameter ε in terms of their Laurent series expansions at zero.
M.A. Bezuglov +3 more
doaj +1 more source