Results 31 to 40 of about 41,148 (275)
Fractal and Fractional, 2021 This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim +2 more
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On the computation of confluent hypergeometric functions for large imaginary part of parameters b and z [PDF]
, 2016 The final publication is available at http://link.springer.com/chapter/10.1007%2F978-3-319-42432-3_30We present an efficient algorithm for the confluent hypergeometric functions when the imaginary part of b and z is large.
Arratia Quesada, Argimiro Alejandro +1 more
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Computation of Carlson's Multiple Hypergeometric FunctionRfor Bayesian Applications [PDF]
Journal of Computational and Graphical Statistics, 1992 Abstract Carlson's multiple hypergeometric functions arise in Bayesian inference, including methods for multinomial data with missing category distinctions and for local smoothing of histograms. To use these methods one needs to calculate Carlson functions and their ratios.
Thomas J. Jiang +2 more
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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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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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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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