Results 31 to 40 of about 6,414,890 (238)
Extended incomplete version of hypergeometric functions
Filomat, 2020 Recently, the incomplete Pochhammer ratios are defined in terms of incomplete beta and gamma functions [10]. In this paper, we introduce the extended incomplete version of Pochhammer symbols in terms of the generalized incomplete gamma functions.
Ozarslan, Mehmet Ali, Ustaoglu, Ceren
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Some Results on the Extended Hypergeometric Function
The Journal of the Indian Mathematical Society, 2020 An attempt is made to define the extended Pochhammer symbol (λ)n,α which leads to an extension of the classical hypergeometric functions. Differential equations and some properties have also been discussed.
Jana, Ranjan Kumar +2 more
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Open Physics, 2022 The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
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A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms
Journal of Mathematics, 2022 The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya +3 more
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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Extended elliptic-type integrals with associated properties and Turán-type inequalities
Advances in Difference Equations, 2021 Our aim is to study and investigate the family of ( p , q ) $(p, q)$ -extended (incomplete and complete) elliptic-type integrals for which the usual properties and representations of various known results of the (classical) elliptic integrals are ...
Rakesh K. Parmar +3 more
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Extension of exton's hypergeometric function K16
Cubo, 2021 The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Honam Mathematical Journal, 2014 Summary: Recently several authors have extended the gamma function, beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions.
Choi, Junesang +2 more
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Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory
Axioms, 2023 We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. We apply this method to the hypergeometric equation which is the Fuchsian equation with three regular singular points.
Evangelos Melas +4 more
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
Journal of Mathematics, 2021 In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions. The current results for these functions include integral representations, transformation formula, recurrence relations, and integral transforms.
Mohamed Abdalla +2 more
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