Results 41 to 50 of about 760 (93)
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
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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
Inequalities for generalized hypergeometric functions of three variables [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1993 LUKE (5] has developed a technique of obtaining two-sided inequalities for generalized hypergeometric functions through their Eulerian integral-representations.
C.M. JOSHI , J.P. ARYA
doaj
Summation Formulas Obtained by Means of the Generalized Chain Rule for Fractional Derivatives
Journal of Complex Analysis, Volume 2014, Issue 1, 2014., 2014 In 1970, several interesting new summation formulas were obtained by using a generalized chain rule for fractional derivatives. The main object of this paper is to obtain a presumably new general formula. Many special cases involving special functions of mathematical physics such as the generalized hypergeometric functions, the Appell F1 function, and ...
S. Gaboury +2 more
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A Study of I‐Function of Several Complex Variables
International Journal of Engineering Mathematics, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to introduce a natural generalization of the well‐known, interesting, and useful Fox H‐function into generalized function of several variables, namely, the I‐function of ‘‘r’’ variables. For r = 1, we get the I‐function introduced and studied by Arjun Rathie (1997) and, for r = 2, we get I‐function of two variables introduced ...
Prathima Jayarama +3 more
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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.
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Symbol Error Probability of DF Relay Selection over Arbitrary Nakagami‐m Fading Channels
Journal of Engineering, Volume 2013, Issue 1, 2013., 2013 We present a new analytical expression for the moment generating function (MGF) of the end‐to‐end signal‐to‐noise ratio of dual‐hop decode‐and‐forward (DF) relaying systems with relay selection when operating over Nakagami‐m fading channels. The derived MGF expression, which is valid for arbitrary values of the fading parameters of both hops, is ...
George C. Alexandropoulos +4 more
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An Expansion Theorem Involving H‐Function of Several Complex Variables
International Journal of Analysis, Volume 2013, Issue 1, 2013., 2013 The aim of this present paper is to obtain a general expansion theorem involving H‐functions of several complex variables. This is done by making use of a Taylor‐like expansion in terms of a rational function obtained by means of fractional derivatives given recently by the authors. Special cases are also computed.
Sébastien Gaboury +2 more
wiley +1 more source
Means of a Dirichlet process and multiple hypergeometric functions
, 2004 The Lauricella theory of multiple hypergeometric functions is used to shed some light on certain distributional properties of the mean of a Dirichlet process. This approach leads to several results, which are illustrated here.
Antonio Lijoi +2 more
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Математичні СтудіїThe paper considers the problem of approximating Lauricella-Saran's hypergeometric functions $F_M(a_1,a_2,b_1,b_2;a_1,c_2;z_1,z_2,z_3)$ by rational functions, which are approximants of branched continued fraction expansions - a special family functions ...
R. Dmytryshyn, I. Nyzhnyk
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