Results 11 to 20 of about 103,034 (331)

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, Ahmed H. Soliman, Ahmed Bakhet   +2 more
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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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On some new inequalities and fractional kinetic equations associated with extended gauss hypergeometric and confluent hypergeometric function

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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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 v ( z ) {I_v}(z) . The existence of other, similar expansions implied that more general expansions might exist. Such was the case.
Jerry L. Fields, Jet Wimp
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Finite hypergeometric functions [PDF]

Pure and Applied Mathematics Quarterly, 2015
Finite hypergeometric functions are complex valued functions on finite fields which are the analogue of the classical analytic hypergeometric functions. From the work of N.M.Katz it follows that their values are traces of Frobenius on certain l-adic sheafs.
Cohen, Henri, Mellit, Anton, Beukers, F.
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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.
Abdul Hassen, Hieu D. Nguyen
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Implementation of summation theorems of Andrews and Gessel-Stanton

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
Generalized hypergeometric functions and their natural generalizations in one and several variables appear in many mathematical problems and their applications.
M.I. Qureshi, T.R. Shah
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Linearly Independent Solutions and Integral Representations for Certain Quadruple Hypergeometric Function

Journal of Function Spaces, 2021
Recently, hypergeometric functions of four variables are investigated by Bin-Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems ...
Anvar Hasanov, Jihad Younis, Hassen Aydi
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On the maximum value of a confluent hypergeometric function

Comptes Rendus. Mathématique, 2022
We study the maximum value of the confluent hypergeometric function with oscillatory conditions of parameters. As a consequence, we obtain new inequalities for the Gauss hypergeometric function.
Fejzullahu, Bujar Xh.
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The Confluent Hypergeometric Beta Distribution

Mathematics, 2023
The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is known in terms of its mathematical properties.
Saralees Nadarajah, Malick Kebe
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