Results 21 to 30 of about 9,521 (292)
Mathematical and Computer Modelling, 2006 In this paper the authors define a class of functions \(f(z)\) that are meromorphic, normalized, analytic and \(p\)-valent in the punctured unit disc \(U^*\) and satisfy the subordination \[ \gamma\frac{(f*g)^{(m)}(z)}{(f*h)^{(m)}(z)} \prec \gamma -\frac{p(A-B)z}{1+Bz} \quad (z\in U^*), \] where \(\gamma>0,\) \(0\leq ...
H M Srivastava
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Certain integral representations involving hypergeometric functions in two variables [PDF]
Mathematica Moravica, 2022 Various integral representations of hypergeometric functions have been introduced and investigated due to their important applications in divers fields.
Younis Jihad +3 more
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Implementation of summation theorems of Andrews and Gessel-Stanton
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Generalized hypergeometric functions and their natural generalizations in one and several variables appear in many mathematical problems and their applications.
M.I. Qureshi, T.R. Shah
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Padé approximation for a class of hypergeometric functions and parametric geometry of numbers [PDF]
Journal of Number Theory, 2022 In this article we obtain new irrationality measures for values of functions which belong to a certain class of hypergeometric functions including shifted logarithmic functions, binomial functions and shifted exponential functions.
M. Kawashima, Anthony Poels
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Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
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A General Family of q-Hypergeometric Polynomials and Associated Generating Functions
Mathematics, 2021 Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q-) hypergeometric polynomials are studied extensively and widely due mainly to their potential for applications in many areas of ...
Hari Mohan Srivastava, Sama Arjika
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Cumhuriyet Science Journal, 2022 When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
E. Ata, I. O. Kiymaz
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GENERALIZED BETA FUNCTIONS INVOLVING NEW GENERALIZED HYPERGEOMETRIC FUNCTIONS AND ITS APPLICATIONS
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2023 The main of this research is to provide a systematic review of a new type of generalized beta function beta function involving a new generalized hypergeometric function. We also obtain a certain integral representation and summation formulas. Furthermore,
Naresh Dudi +2 more
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Discrete and Continuous Dynamical Systems. Series A, 2020 The aim of the present paper is to establish certain new image formulae of family of some extended generalized Gauss hypergeometric functions by applying the operators of fractional derivative involving \begin{document}$ {}_2F_1(.) $\end{document} due to
M. Chand +3 more
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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