A New Extension of the τ-Gauss Hypergeometric Function and Its Associated Properties [PDF]
Mathematics, 2019 In this article, we define an extended version of the Pochhammer symbol and then introduce the corresponding extension of the τ-Gauss hypergeometric function.
Hari Mohan Srivastava +4 more
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Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function
Mathematics, 2021 The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain +4 more
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Product and Quotient of Independent Gauss Hypergeometric Variables [PDF]
Ingeniería y Ciencia, 2011 In this article, we have derived the probability density functions of the productand the quotient of two independent random variables having Gauss hypergeometricdistribution.
Daya Krishna Nagar +1 more
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A small-angle scattering model for broad correlation peaks and small diffuse scattering. [PDF]
J Appl CrystallogrFor porous and/or bicontinous structures with rather broad correlation peaks and small diffuse scattering, a heuristic theory makes the connection to conditions of material production.Porous and/or bicontinuous structures often display a pronounced correlation peak in their small‐angle scattering that indicates a preferred domain spacing d.
Frielinghaus H.
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Modeling small-angle scattering data of porous and/or bicontinuous structures in <i>n</i> dimensions. [PDF]
J Appl CrystallogrA small‐angle scattering fitting function is derived for porous materials with arbitrary fractal dimension. It includes a correlation peak and a power law at higher q.Fractal structures are often observed in small‐angle scattering experiments where a simple power law q−α describes the scattering intensity over many orders of magnitude.
Frielinghaus H.
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Tutorial: Hong-Ou-Mandel interference with structured photons. [PDF]
NanophotonicsAbstract The Hong–Ou–Mandel (HOM) effect, an effective two‐photon interference phenomenon, is a cornerstone of quantum optics and a key tool for linear optical quantum information processing. While the HOM effect has been extensively studied both theoretically and experimentally for various photonic quantum states, particularly in the spectral domain ...
Jaouni T +4 more
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On a new result for the hypergeometric function [PDF]
, 2021 The aim of this note is to provide a new identity connected with the Gauss hypergeometric function.
Paris, Richard B., Rathie, Arjun K.
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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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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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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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