Results 21 to 30 of about 3,001,317 (197)
Ray Transfer Matrix for Onion-Type GRIN Lenses [PDF]
EPJ Web of Conferences, 2022 We present the computation of an ABCD matrix for onion-type GRIN lenses. By applying a differential approximation of the layer thickness, the matrix product of a high number of matrices is synthetized into a single matrix where the elements are integrals.
Lockett Veronica +2 more
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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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Inequalities for Gaussian hypergeometric functions [PDF]
Journal of Mathematical Inequalities, 2017 Summary: In this paper, we first shall present some inequalities for Gaussian hypergeometric functions, which generalize an identity involving the inverse hyperbolic tangent function. Further, the monotonicity of general hypergeometric function is proved. The obtained results of this paper improve some known results.
Wang, Wen, Pan, Juanjuan, Yang, Shiguo
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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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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 Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations
Journal of Mathematics, 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
Maged G. Bin-Saad +4 more
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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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, 2021 U ovom radu definirali smo opći oblik hipergeometrijske funkcije te se bliže upoznali s nekim specijalnim funkcijama kao što su generalizirane hipergeometrijske funkcije, Gaussova hipergeometrijska funkcija i konfluentna hipergeometrijska funkcija ...
Bijelić, Aleksandra
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Lightcone expansions of conformal blocks in closed form
Journal of High Energy Physics, 2020 We present new closed-form expressions for 4-point scalar conformal blocks in the s- and t-channel lightcone expansions. Our formulae apply to intermediate operators of arbitrary spin in general dimensions.
Wenliang Li
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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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