Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]
International Journal of Mathematical, Engineering and Management SciencesThe Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe +3 more
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Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials [PDF]
, 1997 6 pages, no figures.-- MSC1991 codes: 33C25; 42CO5.Zbl#: Zbl 0895.33003We study the asymptotic behaviour of the monic orthogonal polynomials with respect to the Gegenbauer-Sobolev inner product (f,g)_S= + λ where = \int_{-1}\sp 1f(x)g(x)(1-x\sp 2)\sp {\
Andrei Martínez-Finkelshtein +8 more
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Oblique Water Wave Diffraction by a Step
International Journal of Applied Mechanics and Engineering, 2017 This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step.
P. Dolai
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Characterization of the generalized Gegenbauer polynomials
Applied Mathematical Sciences, 2015 We characterize the generalized Gegenbauer polynomials, then we provide a closed form of the the generalized Gegenbauer polynomials using Bernstein basis. We conclude the paper with some results concerning integrals of the generalized Gegenbauer and Bernstein basis.
openaire +1 more source
A prospective study of the k-factor Gegenbauer processes with heteroscedastic errors and an application to inflation rates [PDF]
We investigate some statistical properties of the new k-factor Gegenbauer process with heteroscedastic noises One of the goals of the paper is to give tools which permit to use this model to explain the behaviour of certain data sets in finance and in ...
Dominique Guegan
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Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]
Entropy (Basel), 2022 Dehesa JS.
europepmc +1 more source
Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials: some properties
We consider the novel family of the mixed-type hypergeometric Bernoulli-Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and Gegenbauer ...
Quintana Mato, Yamilet del Carmen +1 more
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A NOTE ON GEGENBAUER POLYNOMIALS [PDF]
, 2014 El objetivo principal de este trabajo es estudiar algunas propiedades diferenciales que satisfacen los polinomios ortogonalesde Gegenbauer como la ecuación diferencial, formula de Rodrigues, norma, derivada de orden uno.
Hernández Llanos, Pedro L. +2 more
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A Study of a Two Variables Gegenbauer Matrix Polynomials and Second Order Matrix Partial Differential Equations [PDF]
, 2008 Gegenbauer matrixes of two variable polynomials are introduced. the paper contains matrix differential recurrence relations, a matrix partial differential equation, double generating functions, new matrix of double and triple hypergeometric forms, a ...
Ghazi S Kahmmash
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Gegenbauer polynomials and semiseparable matrices
, 2007 . In this paper, we develop a new O(n log n) algorithm for converting coefficients between expansions in different families of Gegenbauer polynomials up to a finite degree n.
Jens Keiner
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