Results 31 to 40 of about 41,081 (281)
Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems
Journal of High Energy Physics, 2020 We show that almost all Feynman integrals as well as their coefficients in a Laurent series in dimensional regularization can be written in terms of Horn hypergeometric functions.
René Pascal Klausen
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The Nepali Mathematical Sciences ReportIn this article , we explore the properties and relations of the hypergeometric superhyberbolic functions in terms of generalized hypergeometric functions. Then we express the hypergeometric superhyberbolic functions with the help of hypergeometric functions to obtain an integral representation related to classical results within the theory of ...
Pandel, Resham Prasad +2 more
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Upper and lower bounds of integral operator defined by the fractional hypergeometric function
Open Mathematics, 2015 In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions ...
Ibrahim Rabha W. +2 more
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On applications of hypergeometric functions
Journal of Computational and Applied Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On properties and applications of (p,q)-extended τ-hypergeometric functions
Comptes Rendus. Mathématique, 2018 We introduce the (p,q)-extended τ-hypergeometric and confluent hypergeometric functions along with their integral representations. We also present closed integral expressions for the Mathieu-type a-series and for the associated alternating versions whose terms contain the (p,q)-extended τ-hypergeometric functions with related contiguous functional ...
Parmar, Rakesh K. +2 more
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Fractal and FractionalIn this paper, we present novel advancements in the theory of bicomplex hypergeometric functions and their applications. We extend the hypergeometric function to bicomplex parameters, analyse its convergence region, and define its integral and derivative
Ahmed Bakhet +4 more
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Fractal and Fractional, 2021 The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan +2 more
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Applications of generalized trigonometric functions with two parameters II
, 2019 Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the $p$-Laplacian, which is known as a typical nonlinear differential operator. Compared to GTFs with one parameter,
Takeuchi, Shingo
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An extension of Pochhammer’s symbol and its application to hypergeometric functions
Filomat, 2017 By using a special property of the gamma function, we first define a productive form of gamma and beta functions and study some of their general properties in order to define a new extension of the Pochhammer symbol. We then apply this extended symbol for generalized hypergeometric series and study the convergence problem with some ...
Mohammad Masjed-Jamei +1 more
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Fractal and Fractional, 2022 A new auxiliary result pertaining to twice (q1,q2)-differentiable functions is derived. Using this new auxiliary result, some new versions of Hermite–Hadamard’s inequality involving the class of generalized m-convex functions are obtained.
Muhammad Uzair Awan +5 more
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