Results 41 to 50 of about 110,049 (182)
Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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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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A Survey on Orthogonal Polynomials from a Monomiality Principle Point of View
EncyclopediaThis survey highlights the significant role of exponential operators and the monomiality principle in the theory of special polynomials. Using operational calculus formalism, we revisited classical and current results corresponding to a broad class of ...
Clemente Cesarano +2 more
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Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials
Journal of Mathematics, 2022 In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ-pseudo bistarlike and λ-pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial
Isra Al-Shbeil +3 more
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Gegenbauer polynomials and the Fueter theorem [PDF]
Complex Variables and Elliptic Equations, 2013 The Fueter theorem states that regular (resp. monogenic) functions in quaternionic (resp. Clifford) analysis can be constructed from holomorphic functions in the complex plane, hereby using a combination of a formal substitution and the action of an appropriate power of the Laplace operator.
Eelbode, David +2 more
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Fekete-Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials
Journal of Function Spaces, 2021 In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to this subclass are obtained.
Ala Amourah +2 more
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Fractal and Fractional, 2023 In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara equation (NTFGKE).
Waleed Mohamed Abd-Elhameed +3 more
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Filter function synthesis by Gegenbauer generating function [PDF]
Serbian Journal of Electrical Engineering, 2006 Low-pass all-pole transfer functions with non-monotonic amplitude characteristic in the pass-band and at least (n -1) flatness conditions for ω = 0 are considered in this paper.
Pavlović Vlastimir D.
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The Gegenbauer polynomials and typically real functions [PDF]
, 2003 Linear and nonlinear coefficient problems for some class of typically real functions are studied.
Naraniecka, I., Kiepiela, K., Szynal, J.
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