Results 11 to 20 of about 12,030,394 (333)
Inequalities of extended beta and extended hypergeometric functions [PDF]
Journal of Inequalities and Applications, 2017 We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-type inequalities. The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta ...
Saiful R. Mondal
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Expansion of hypergeometric functions in series of other hypergeometric functions [PDF]
Mathematics of Computation, 1961 In a previous paper [1] one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different expansion of the same kind given by Buchholz [2] was also studied. Since publication of [1], it was found that Rice [3] has also developed an expansion of this type, and yet a fourth expansion of this kind can be
Luke, Y. L., Coleman, R. L.
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Some Summation Theorems for Generalized Hypergeometric Functions
Axioms, 2018 Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we apply two identities of generalized
Mohammad Masjed-Jamei, Wolfram Koepf
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Hypergeometric Functions and Feynman Diagrams [PDF]
Texts & Monographs in Symbolic Computation, 2020 The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention is devoted to existing techniques for the constructionof the Y-expansion.
M. Kalmykov +5 more
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ϵ-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus
Nuclear Physics B, 2023 We present a new methodology, suitable for implementation on computer, to perform the ϵ-expansion of hypergeometric functions with linear ϵ dependent Pochhammer parameters in any number of variables.
Souvik Bera
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Some $k$-Horn hypergeometric functions and their properties
Journal of New Results in Science, 2023 In the theory of special functions, the $k$-Pochhammer symbol is a generalization of the Pochhammer symbol. With the help of the $k$-Pochhammer symbol, we introduce and study a new generalization of the $k$-Horn hypergeometric functions such as, ${G}_{1}^
Caner Çatak +3 more
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HYPERGEOMETRIC ZETA FUNCTIONS [PDF]
International Journal of Number Theory, 2010 This paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the classical Riemann zeta function, hypergeometric zeta functions exhibit many properties analogous to their classical counterpart, including the intimate connection to Bernoulli numbers.
Hassen, Abdul, Nguyen, Hieu D.
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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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Some Inequalities of Extended Hypergeometric Functions
Mathematics, 2021 Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain +3 more
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From positive geometries to a coaction on hypergeometric functions [PDF]
Journal of High Energy Physics, 2019 It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on one-loop Feynman integrals in dimensional regularization, we use intersection ...
S. Abreu +4 more
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