Results 31 to 40 of about 5,426,135 (190)
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions by branched continued fractions. The formal branched continued fraction expansions for three different Horn’s hypergeometric function H4 ratios are constructed.
Tamara Antonova +3 more
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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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On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables [PDF]
Journal of Function Spaces, 2021 In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.
Anvar Hasanov, Jihad Younis, Hassen Aydi
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Univalence and Convexity Properties for Gaussian Hypergeometric Functions
Rocky Mountain Journal of Mathematics, 2001 Let \(f(z)=z+a_2z^2+ \cdots\) be analytic in the unit disk \(\mathbf{D}\). Then \(f(z)\) is called convex if it is univalent and \(f(\mathbf{D})\) is convex, and \(f(z)\) is called starlike if it is univalent and \(f(\mathbf D)\) is starlike with respect to the origin. Furthermore \(f(z)\) is called close-to-convex if there is a convex function \(g(z)\)
Ponnusamy, S., Vuorinen, M.
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Some exact Bradlow vortex solutions
Journal of High Energy Physics, 2017 We consider the Bradlow equation for vortices which was recently found by Manton and find a two-parameter class of analytic solutions in closed form on nontrivial geometries with non-constant curvature.
Sven Bjarke Gudnason, Muneto Nitta
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Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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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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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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Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter
Mathematical Inequalities & Applications, 2022 The authors establish the necessary and sufficient conditions under which certain combinations of Gaussian hypergeometric function and elementary function are monotone in the parameter, which generalize the recent results of generalized elliptic integrals of the first and second kinds obtained by Qiu et al.
Bao, Qi, Wang, Miao-Kun, Qiu, Song-Liang
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Generalized Hilbert operator on analytic function spaces [PDF]
Arab Journal of Mathematical SciencesPurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
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