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Certain subclasses of analytic functions defined by a new general linear operator
Известия Иркутского государственного университета: Серия "Математика", 2018 Hypergeometric functions are of special interests among the complex analysts especially in looking at the properties and criteria of univalent. Hypergeometric functions have been around since 1900’s and have special applications according to their own ...
A.R.S. Juma, M. Darus
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Symmetry, 2022 There have been numerous investigations on the hypergeometric series 2F1 and the generalized hypergeometric series pFq such as differential equations, integral representations, analytic continuations, asymptotic expansions, reduction cases, extensions of
M. I. Qureshi +2 more
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Fractal and Fractional, 2022 The fuzzy differential subordination concept was introduced in 2011, generalizing the concept of differential subordination following a recent trend of adapting fuzzy sets theory to other already-established theories.
Mugur Acu +2 more
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Explicit evaluation of some families of log-sine integrals via the hypergeometric mechanism and their applications [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we present explicit analytical expressions for certain families of log-sine definite integrals: ∫ₒ^2π xᵐ{ln(2sin(x/2))}ⁿdx (m∈ℕ₀, n∈ℕ), expressed in terms of multiple hypergeometric functions of the Kampe de Feriet with arguments ±1 and ...
Shakir Hussain Malik +1 more
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AIMS Mathematics, 2021 In this paper, we mainly prove monotonicity and convexity properties of certain functions involving zero-balanced Gaussian hypergeometric function $ F(a, b; a+b; x) $.
Ye-Cong Han, Chuan-Yu Cai, T. Huang
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Completeness of trajectories associated to Appell hypergeometric functions [PDF]
Journal of Mathematical Analysis and Applications, 2023 We examine the linear completeness of trajectories of eigenfunctions associated to non-linear eigenvalue problems, subject to Dirichlet boundary conditions on a segment. We pursue two specific goals. On the one hand, we establish that linear completeness
L. Boulton
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Mathematics, 2022 The study done for obtaining the original results of this paper involves the fractional integral of the confluent hypergeometric function and presents its new applications for introducing a certain subclass of analytic functions. Conditions for functions
Alina Alb Lupaş, Georgia Irina Oros
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Discrete Matrix Hypergeometric Functions
, 2023 We generalize the scalar discrete hypergeometric series to allow for matrix parameters. We show their connection to classical matrix hypergeometric series, derive conditions for convergence on the boundary disk, show criteria for divergence, derive ...
Grow, David E., Wintz, Nick, Cuchta, Tom
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Landen inequalities for a class of hypergeometric functions with applications
, 2018 In this paper, we study a class of Gaussian hypergeometric function 2F1(a,b;(a+b+ 1)/2;x)(a,b > 0) , and find the maximal regions of ab plane in the first quadrant where the wellknown Landen identities for the complete elliptic integrals of the first ...
Miao-Kun Wang, Y. Chu
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Applications of multiple orthogonal polynomials with hypergeometric moment generating functions [PDF]
Advances in Applied MathematicsWe investigate several families of multiple orthogonal polynomials associated with weights for which the moment generating functions are hypergeometric series with slightly varying parameters.
T. Wolfs
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