Results 31 to 40 of about 2,308 (173)
Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations
Mathematics, 2022 Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory.
Georgia Irina Oros, Simona Dzitac
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Polynomial series expansions for confluent and Gaussian hypergeometric functions [PDF]
Mathematics of Computation, 2005 Based on the Hadamard product of power series, polynomial series expansions for confluent hypergeometric functions M ( a ,
Wolfgang Luh +3 more
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Starlike and Convex Properties for Hypergeometric Functions
International Journal of Mathematics and Mathematical Sciences, 2008 The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
Oh Sang Kwon, Nak Eun Cho
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On Some Formulas for the Lauricella Function
Mathematics, 2023 Lauricella, G. in 1893 defined four multidimensional hypergeometric functions FA, FB, FC and FD. These functions depended on three variables but were later generalized to many variables.
Ainur Ryskan, Tuhtasin Ergashev
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Precise Estimates for Differences of the Gaussian Hypergeometric Function
Journal of Mathematical Analysis and Applications, 1997 For given \(a,b,c,d\in (0,\infty)\), \(a\leq b\), and \(c< d\), the authors study the problem of comparing the Gaussian hypergeometric functions \(F(a,b; a+b; 1-x^c)\) and \(F(a-\delta, b+\delta; a+b; 1- x^d)\). In particular they solve some open problems by determining \(\sup\{\delta\in (0,\infty): F(a,b; a+b; 1-x^c)< F(a-\delta, b+\delta; a+b; 1-x^d)\
Anderson, G.D, Qiu, S.-L, Vuorinen, M
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A Feynman integral and its recurrences and associators
Nuclear Physics B, 2016 We determine closed and compact expressions for the ϵ-expansion of certain Gaussian hypergeometric functions expanded around half-integer values by explicitly solving for their recurrence relations.
Georg Puhlfürst, Stephan Stieberger
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Mathematics, 2023 The present research aims to present new results regarding the fundamental problem of providing sufficient conditions for finding the best subordinant of a third-order differential superordination. A theorem revealing such conditions is first proved in a
Georgia Irina Oros +1 more
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Қарағанды университетінің хабаршысы. Математика сериясыHypergeometric functions are divided into complete and confluent functions. Srivastava and Karlsson were the first to propose a method for constructing the complete set of triple Gaussian hypergeometric series and compiled a table containing definitions
A. Hasanov, T.G. Ergashev, A.R. Ryskan
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Coefficient Conditions for Starlikeness of Nonnegative Order
Abstract and Applied Analysis, 2012 Sufficient conditions on a sequence {ak} of nonnegative numbers are obtained that ensures f(z)=∑k=1∞akzk is starlike of nonnegative order in the unit disk. A result of Vietoris on trigonometric sums is extended in this pursuit.
Rosihan M. Ali +2 more
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On the complete perturbative solution of one-matrix models
Physics Letters B, 2017 We summarize the recent results about complete solvability of Hermitian and rectangular complex matrix models. Partition functions have very simple character expansions with coefficients made from dimensions of representation of the linear group GL(N ...
A. Mironov, A. Morozov
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