Results 21 to 30 of about 5,426,135 (190)
Accurate BER Analysis of Asynchronous DS-CDMA Systems in Ricean Channels [PDF]
, 2006 The accurate Bit Error Rate (BER) calculation of an asynchronous Ricean-faded DS-CDMA system using random spreading sequences and BPSK modulation is studied in this paper.
Liu, X. +3 more
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A Reflection Formula for the Gaussian Hypergeometric Function of Matrix Argument [PDF]
, 2023 We obtain a reflection formula for the Gaussian hypergeometric function of real symmetric matrix argument. We also show that this result extends to the Gaussian hypergeometric function defined over the symmetric cones, and even to generalizations of the ...
Zheng, Qifu, Richards, Donald
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Sinusoidal Gaussian optical vortex as a superposition of two hypergeometric beams
Компьютерная оптика, 2022 We analyze the propagation of hypergeometric beams with a parabolic initial wavefront in a homogeneous medium. While hypergeomentric beams have a central amplitude singularity in the initial plane and are of infinite energy, superposition of two such ...
V.V. Kotlyar, A.A. Kovalev
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Computation of certain integral formulas involving generalized Wright function
Advances in Difference Equations, 2020 The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as
Nabiullah Khan +4 more
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On Mathieu-type series for the unified Gaussian hypergeometric functions [PDF]
Applicable Analysis and Discrete Mathematics, 2020 The main purpose of this paper is to present closed integral form expressions for the Mathieu-type a-series and for the associated alternating versions whose terms contain a generalized p-extended Gauss' hypergeometric function. Related bounding inequalities for the p-generalized Mathieu-type series are also obtained.
Parmar, Rakesh K., Pogany, Tibor K.
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Quantitative versions of the two-dimensional Gaussian product inequalities
Journal of Inequalities and Applications, 2023 The Gaussian product-inequality (GPI) conjecture is one of the most famous inequalities associated with Gaussian distributions and has attracted much attention.
Ze-Chun Hu, Han Zhao, Qian-Qian Zhou
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Inequalities for zero-balanced Gaussian hypergeometric functions [PDF]
Mathematical Inequalities & Applications, 2017 In this paper, we consider the monotonicity of certain combinations of the Gaussian hypergeometric functions $F(a-1,b;a+b;1-x^c)$ and $F(a-1-δ,b+δ;a+b;1-x^d)$ on $(0,1)$ for $δ\in(a-1,0)$, and study the problem of comparing these two functions, thus get the largest value $δ_1=δ_1(a,c,d)$ such that the inequality $F(a-1,b;a+b;1-x^c)
Huang, Ti-Ren +2 more
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Ural Mathematical Journal, 2017 A formula for the non-elementary integral \(\int e^{\lambda x^\alpha} dx\) where \(\alpha\) is real and greater or equal two, is obtained in terms of the confluent hypergeometric function \(_{1}F_1\) by expanding the integrand as a Taylor series.
Victor Nijimbere
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Distribution of values of Gaussian hypergeometric functions
Pure and Applied Mathematics Quarterly, 2023 In the 1980's, Greene defined {\it hypergeometric functions over finite fields} using Jacobi sums. The framework of his theory establishes that these functions possess many properties that are analogous to those of the classical hypergeometric series studied by Gauss and Kummer.
Ono, Ken, Saad, Hasan, Saikia, Neelam
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
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