Results 21 to 30 of about 10,813 (246)
EXTENDED HYPERGEOMETRIC FUNCTIONS OF TWO AND THREE VARIABLES
Communications of the Korean Mathematical Society, 2015 Praveen Agarwal +2 more
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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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Inequalities of extended beta and extended hypergeometric functions [PDF]
Journal of Inequalities and Applications, 2017 This paper studies the log-convexity of the extended beta functions. As a consequence, Turán-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,. The particular cases of those results also gives the Turán-type inequalities
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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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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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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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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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