Results 11 to 20 of about 5,729 (101)
A Generic Formula and Some Special Cases for the Kullback–Leibler Divergence between Central Multivariate Cauchy Distributions [PDF]
Entropy, 2022 This paper introduces a closed-form expression for the Kullback–Leibler divergence (KLD) between two central multivariate Cauchy distributions (MCDs) which have been recently used in different signal and image processing applications where non-Gaussian ...
Nizar Bouhlel, David Rousseau
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On a Family of Multivariate Modified Humbert Polynomials [PDF]
The Scientific World Journal, Volume 2013, Issue 1, 2013., 2013 This paper attempts to present a multivariable extension of generalized Humbert polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties, and also some special cases for these multivariable polynomials.
Rabia Aktaş +3 more
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International Journal of Mathematics for Industry, 2023 Fractional kinetic equations are of immense importance in describing and solving numerous intriguing problems of physics and astrophysics. Inequalities are important topics in special functions.
Ankita Chandola, Rupakshi Mishra Pandey
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Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023 The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
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Simple PDF of the sum and maximum of non‐identical fluctuating two‐ray variates
Electronics Letters, Volume 58, Issue 16, Page 633-635, August 2022., 2022 Abstract In this letter, probability density function (PDF) of the sum and maximum of non‐identical fluctuating two‐ray (FTR) variates are derived in terms of the power and exponential functions. To this effect, novel mathematically tractable expressions of the outage probability (OP) and average bit error probability (ABEP) for both the maximal ratio ...
Hussien Al‐Hmood +2 more
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On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables. The main results are obtained by using the properties of Gamma and beta functions. The novel integral representations are carried out through ten hypergeometric functions of three variables ...
Maged G. Bin-Saad +5 more
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On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we compute the reproducing kernel Bm,α(z, w) for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m = 2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq. In particular, we show that there is a close connection between B4,α(z, w) and the error function.
Jong-Do Park, Guozhen Lu
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Conformal integrals in four dimensions
Journal of High Energy Physics, 2022 We obtain analytic expressions of four-dimensional Euclidean N-point conformal integrals for arbitrary N by solving a Lauricella-like system of differential equations derived earlier. We demonstrate their relation to the GKZ A-hypergeometric systems. The
Aritra Pal, Koushik Ray
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Some Summation Formulas for the Generalized Kampé de Fériet Function
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The aim of this manuscript is to establish several finite summation formulas (FSFs) for the generalized Kampé de Fériet series (GKDFS). Moreover, the particular result for confluent forms of Lauricella series in n variables and four generalized Lauricella functions are obtained from the finite summation formulas for the GKDFS.
Ashish Verma +4 more
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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
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