Results 11 to 20 of about 502,259 (243)
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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On the asymptotic behavior of the maximum absolute value of generalized Gegenbauer polynomials [PDF]
arXiv, 2016 Using well-known facts on Jacobi polynomials, we derive some asymptotic estimates for the maximum absolute value of generalized Gegenbauer polynomials.
Roman Veprintsev
arxiv +3 more sources
Generalized Gegenbauer orthogonal polynomials
Journal of Computational and Applied Mathematics, 2001 AbstractIn this paper we explore a specific semi-classical orthogonal sequence, namely the generalized Gegenbauer orthogonal polynomials (GG) which appear in many applications such as the weighted Lp mean convergence of Hermite–Fejér interpolation or the chain of harmonic oscillators in the absence of externally applied forces.
S. Belmehdi
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Fourier Series of Gegenbauer-Sobolev Polynomials [PDF]
SIGMA 14 (2018), 024, 11 pages, 2017 We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given. Moreover, we analyze the convergence of the partial sum operators.
Ciaurri, Ó., Mínguez, J.
arxiv +6 more sources
New fractional-order shifted Gegenbauer moments for image analysis and recognition [PDF]
Journal of Advanced Research, 2020 Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny +2 more
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Some identities involving Gegenbauer polynomials [PDF]
arXiv, 2012 In this paper we derive some interesting identities arising from the orhtogonality of gegenbauer polynomials.
Seog-Hoon Rim, Dae San Kim, Taekyun Kim
arxiv +5 more sources
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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Matrix-valued Gegenbauer polynomials [PDF]
arXiv, 2014 We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter $\nu>0$. The LDU-decomposition of the weight is explicitly given in terms of Gegenbauer polynomials.
Koelink, Erik +2 more
arxiv +3 more sources
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 +1 more
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