A Class of Integral Operators Preserving Subordination and Superordination
Journal of Inequalities and Applications, 2008 We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk.
In Hwa Kim, Nak Eun Cho
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Parametric Transformations between the Heun and Gauss Hypergeometric Functions
Funkcialaj Ekvacioj, 2013 The hypergeometric and Heun functions are classical special functions. Transformation formulas between them are commonly induced by pull-back transformations of their differential equations, with respect to some coverings P1-to-P1. This gives expressions of Heun functions in terms of better understood hypergeometric functions. This article presents the
Vidunas, R., Filipuk, G.
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Series Solution to a Fuchsian‐Type Differential Equation in Terms of Orthogonal Polynomials
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we study a thirteen‐parameter Fuchsian‐type second‐order linear differential equation that involves five regular singularities. By employing a tridiagonal representation technique, we formulate four cases under which the series solutions of the equation are obtained in terms of Jacobi polynomials.
Saiful Rahman Mondal +2 more
wiley +1 more source
Jacobi matrices generated by ratios of hypergeometric functions
, 2017 A problem of determining zeroes of the Gauss hypergeometric function goes back to Klein, Hurwitz, and Van Vleck. In this very short note we show how ratios of hypergeometric functions arise as m-functions of Jacobi matrices and we then revisit the ...
Derevyagin, Maxim
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Functional reduction of one-loop Feynman integrals with arbitrary masses
Journal of High Energy Physics, 2022 A method of functional reduction for the dimensionally regularized one-loop Feynman integrals with massive propagators is described in detail. The method is based on a repeated application of the functional relations proposed by the author.
O. V. Tarasov
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A Study of the S-Generalized Gauss Hypergeometric Function and Its Associated Integral Transforms
, 2015 The aim of the present paper is to further investigate the S-generalized Gauss hypergeometric function which was recently introduced by Srivastava et al. [8].
H. Srivastava, R. Jain, M. K. Bansal
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A Comprehensive Framework for Statistical Inference in Measurement System Assessment Studies
Applied Stochastic Models in Business and Industry, Volume 41, Issue 6, November/December 2025.ABSTRACT Measurement system analysis aims to quantify the variability in data attributable to the measurement system and evaluate its contribution to overall data variability. This paper conducts a rigorous theoretical investigation of the statistical methods used in such analyses, focusing on variance components and other critical parameters.
Banafsheh Lashkari, Shojaeddin Chenouri
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Product and Quotient of Independent Gauss Hypergeometric Variables
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
doaj
Feynman integral in $\mathbb R^1\oplus\mathbb R^m$ and complex expansion of $_2F_1$
, 2016 Closed form expressions are proposed for the Feynman integral $$ I_{D, m}(p,q) = \int\frac{d^my}{(2\pi)^m}\int\frac{d^Dx}{(2\pi)^D} \frac1{(x-p/2)^2+(y-q/2)^4} \frac1{(x+p/2)^2+(y+q/2)^4} $$ over $d=D+m$ dimensional space with $(x,y),\,(p,q)\in
Pogány, Tibor K., Shpot, Mykola A.
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Interpolation on Gauss hypergeometric functions with an application [PDF]
Involve, a Journal of Mathematics, 2018 To appear in Involve-A Journal of Mathematics, 16 ...
Arora, Hina Manoj, Sahoo, Swadesh Kumar
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