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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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Signed distributions of real tensor eigenvectors of Gaussian tensor model via a four-fermi theory
Physics Letters B, 2023 Eigenvalue distributions are important dynamical quantities in matrix models, and it is a challenging problem to derive them in tensor models. In this paper, we consider real symmetric order-three tensors with Gaussian distributions as the simplest case,
Naoki Sasakura
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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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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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Fractional differentiation composition operators from Sp spaces to Hq spaces [PDF]
Mathematica MoravicaLet Sp be the space of functions analytic on the unit disk and whose derivatives belong to the Hardy space. In this article, we investigate the boundedness and compactness of the fractional differentiation composition operators from Sp spaces into Hardy ...
Borgohain Deepjyoti
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A note on the accuracy of a computable approximation for the period of a pendulum
AIP Advances, 2015 We discuss the accuracy of a previously proposed computable approximation for the period of the simple pendulum. In particular, we apply known inequalities for the Gaussian hypergeometric function to prove that the associated error is a monotonic ...
Eric Oden, Kendall Richards
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IEEE Access, 2021 In this paper, we investigate the error performance of access point-based reconfigurable intelligent surfaces (AP-RISs) under a Rayleigh frequency-flat slow fading channel with path loss in the presence of Gaussian-plus-Laplacian additive noise.
Narushan Pillay, Hongjun Xu
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Tables of the Lauricella Hypergeometric Functions F^(3)_A
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiThe generalized hypergeometric function qFp is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1 and 3F3 are most common special cases of the generalized ...
Abbasova, M.O., Ergashev, T.G.
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