Results 11 to 20 of about 441,925 (264)
A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
Axioms, 2023 Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials.
Ala Amourah +5 more
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Generalized Gegenbauer orthogonal polynomials
Journal of Computational and Applied Mathematics, 2001 The aim of the author is to give a characterization of the so-called generalized Gegenbauer polynomials. He first shows the link between this functions and the classical Jacobi polynomials. Then he establishes both a differential-difference and a second order differential equation satisfied by these generalized polynomials.
S. Belmehdi
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Applied Mathematics in Science and Engineering, 2022 In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature.
Qiuxia Hu +5 more
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Mathematics, 2023 Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
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QCD analysis of
Physical Review CThis paper provides a thorough examination of the $xF_3$ structure functions in deep-inelastic scattering through a comprehensive QCD analysis. Our approach harnesses sophisticated mathematical techniques, namely the Mellin transform combined with ...
Fatemeh Arbabifar +3 more
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Information entropy of Gegenbauer polynomials of integer parameter [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 19 pages, 1 Postscript ...
Julio I. de Vicente +2 more
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Subclasses of Yamakawa-Type Bi-Starlike Functions Associated with Gegenbauer Polynomials [PDF]
Axioms, 2022 In this paper, we introduce and investigate new subclasses (Yamakawa-type bi-starlike functions and another class of Lashin, both mentioned in the reference list) of bi-univalent functions defined in the open unit disk, which are associated with the ...
G. Murugusundaramoorthy, T. Bulboacă
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On the Generalized Class of Multivariable Humbert-Type Polynomials
International Journal of Mathematics and Mathematical SciencesThe present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini +3 more
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Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
Journal of Mathematics, 2022 In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad +4 more
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Algebraic Generating Functions for Gegenbauer Polynomials [PDF]
, 2018 20 pages, final version, typos corrected, to appear in the volume `Frontiers of Orthogonal Polynomials and q-Series' (World Scientific)
Maier, Robert S.
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