Derivatives of Horn-type hypergeometric functions with respect to their parameters [PDF]
, 2017 We consider the derivatives of Horn hypergeometric functions of any number variables with respect to their parameters. The derivative of the function in $n$ variables is expressed as a Horn hypergeometric series of $n+1$ infinite summations depending on ...
Bytev, V., Kniehl, B., Moch, S.
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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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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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On the Properties of Special Functions on the linear-type lattices [PDF]
, 2011 We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric type on a special kind of ...
Andrews +18 more
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Applications of Confluent Hypergeometric Function in Strong Superordination Theory
Axioms, 2022 In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into consideration certain classes of analytic functions depending on an extra parameter previously ...
Georgia Irina Oros +2 more
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On the computation of confluent hypergeometric functions for large imaginary part of parameters b and z [PDF]
, 2016 The final publication is available at http://link.springer.com/chapter/10.1007%2F978-3-319-42432-3_30We present an efficient algorithm for the confluent hypergeometric functions when the imaginary part of b and z is large.
Arratia Quesada, Argimiro Alejandro +1 more
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SOME APPLICATIONS OF QUADRUPLE HYPERGEOMETRIC FUNCTIONS IN FUNCTIONS SPACES
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A. K. THAKUR +2 more
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Evaluation of certain families of log-cosine integrals using hypergeometric function approach and applications [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we provide the analytical solutions of the families of certain definite integrals: ∫₀^π xᵐ{ln(2cos(x/2)}ⁿ dx (m∈ℕ₀ and n∈ℕ), in terms of multiple hypergeometric functions of Kampe de Feriet having the arguments ±1 and Riemann zeta ...
Mohammad Idris Qureshi +1 more
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Connection coefficients for basic Harish-Chandra series [PDF]
, 2014 Basic Harish-Chandra series are asymptotically free meromorphic solutions of the system of basic hypergeometric difference equations associated to root systems.
Askey +62 more
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An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function
Adıyaman University Journal of Science, 2020 The main purpose of this paper is to establish connections between various subclasses of harmonic univalent functions by applying certain convolution operator involving hypergeometric functions. We investigate such connections with Goodman- Salagean-Type harmonic univalent functions in the open unit disc U.
Yalçın Tokgöz, Sibel +2 more
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