Results 51 to 60 of about 5,729 (101)
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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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
wiley +1 more source
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
wiley +1 more source
Relations between Lauricella’s triple hypergeometric function FA(3)(x,y,z) and Exton’s function X8
Advances in Differential Equations, 2013 Very recently Choi et al. derived some interesting relations between Lauricella’s triple hypergeometric function FA(3)(x,y,z) and the Srivastava function F(3)[x,y,z] by simply splitting Lauricella’s triple hypergeometric function FA(3)(x,y,z) into eight ...
Junesang Choi, A. Rathie
semanticscholar +2 more sources
Irreducibility of the monodromy representation of Lauricella's $F_C$ [PDF]
Hokkaido Mathematical Journal, 2017 Let $E_C$ be the hypergeometric system of differential equations satisfied by Lauricella's hypergeometric series $F_C$ of $m$ variables. We show that the monodromy representation of $E_C$ is irreducible under our assumption consisting of $2^{m+1 ...
Y. Goto, Keiji Matsumoto
semanticscholar +1 more source
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
wiley +1 more source
Probabilistic treatment of the uncertainty from the finite size of weighted Monte Carlo data
, 2018 Parameter estimation in HEP experiments often involves Monte-Carlo simulation to model the experimental response function. A typical application are forward-folding likelihood analyses with re-weighting, or time-consuming minimization schemes with a new ...
Glüsenkamp, Thorsten
core +1 more source
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
doaj +1 more source
Logarithmic Conformal Field Theory - or - How to Compute a Torus Amplitude on the Sphere
, 2004 We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V.
Flohr, Michael A. I.
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, 2010 There are several cases in wireless communications theory where the statistics of the sum of independent or correlated Nakagami-m random variables (RVs) is necessary to be known.
Hadzi-Velkov, Zoran +2 more
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