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Quadratic transformation inequalities for Gaussian hypergeometric function. [PDF]
J Inequal Appl, 2018 In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring ...
Zhao TH, Wang MK, Zhang W, Chu YM.
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A parafermionic hypergeometric function and supersymmetric 6j-symbols [PDF]
Nuclear Physics B, 2023 We study properties of a parafermionic generalization of the hyperbolic hypergeometric function appearing as the most important part in the fusion matrix for Liouville field theory and the Racah-Wigner symbols for the Faddeev modular double. We show that
Elena Apresyan +2 more
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GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]
Honam Mathematical Journal, 2011 Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Rakesh Kumar Parmar, Yong-Sup Kim
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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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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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Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
Abstract and Applied Analysis, 2023 Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations ...
Mohamed Niyaz +2 more
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Mathematics, 2022 Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using the extended incomplete Pochhammer matrix symbol.
Ahmed Bakhet +4 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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Expansions of hypergeometric functions in hypergeometric functions [PDF]
Mathematics of Computation, 1961 In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions I
Fields, J. L., Wimp, J.
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Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 v3: Proposition 4.3 ...
van de Bult, Fokko J., Rains, Eric M.
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