Results 141 to 150 of about 246 (165)
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Derivatives of Generalized Gegenbauer Polynomials
Theoretical and Mathematical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García Fuertes, W., Perelomov, A. M.
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Linearization and connection formulae involving squares of gegenbauer polynomials [PDF]
Applied Mathematics Letters, 2001 7 pages, no figures.-- MSC2000 code: 33C45.MR#: MR1820610 (2003c:33014)Zbl#: Zbl 0978.33003Several linearization-like and connection-like formulae relating the classical Gegenbauer polynomials and their squares are obtained using a theorem of the theory ...
Sánchez-Ruiz, Jorge, Sánchez-Ruiz, J.
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A generalization of the symmetric classical polynomials: Hermite and Gegenbauer polynomials
Integral Transforms and Special Functions, 2016ABSTRACTIn this paper, we give new families of polynomials orthogonal with respect to a d-dimensional vector of linear functionals, d being a positive integer number, and generalizing the standard symmetric classical polynomials: Hermite and Gegenbauer.
Neila Ben Romdhane, Mohamed Gaied
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Some bilateral generating relations involving Gegenbauer polynomials
Integral Transforms and Special Functions, 2003In this paper, we obtain three interesting bilateral generating functions for Gegenbauer polynomials C n b (x) associated with hypergeometric polynomials 2 F 1, 1 F 2 and 3 F 2. Our results are obtained with the help of series rearrangement technique.
M. I. Qureshi, N. U. Khan, M. A. Pathan
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Generalized Gegenbauer Koornwinder’s type polynomials change of bases
AIP Conference Proceedings, 2017In this paper we characterize the generalized Gegenbauer polynomials using Bernstein basis, and derive the matrix of transformation of the generalized Gegenbauer polynomial basis form into the Bernstein polynomial basis and vice versa.
Mohammad AlQudah, Maalee AlMheidat
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Some generating functions of modified Gegenbauer polynomials
Proceedings of the Indian Academy of Sciences - Section A, 1987\textit{A. K. Chongdar} [J. Orissa Math. Soc. 2, No.2, 71-85 (1983; Zbl 0571.33007)] studied Gegenbauer polynomials \(C_ n^{\gamma}(x)\) to obtain generating functions by following Weisner's group-theoretic method by means of suitable interpretations to both the index and the parameter of the polynomials. Subsequently \textit{T. I. Sultan} [J.
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q-Extension of generalized Gegenbauer polynomials
Journal of Difference Equations and Applications, 2010We study in detail a q-extension of the generalized Gegenbauer form (functional). We show that it is symmetric H q -semi-classical of class one. The moments and the integral representations are given.
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Proceedings 1995 Canadian Conference on Electrical and Computer Engineering, 2002
Gegenbauer polynomials are very suitable for approximation of low-pass and bandpass finite filter functions in the time domain. The presented class of functions is characterized by a grid and an interdependence of two polynomial parameters, offering great flexibility in the choice of the filter characteristic.
A. Saed, J.J. Soltis, M. Ahmadi
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Gegenbauer polynomials are very suitable for approximation of low-pass and bandpass finite filter functions in the time domain. The presented class of functions is characterized by a grid and an interdependence of two polynomial parameters, offering great flexibility in the choice of the filter characteristic.
A. Saed, J.J. Soltis, M. Ahmadi
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International Journal of Electronics, 2011
A new original formulation of all pole low-pass filter functions is proposed in this article. The starting point in solving the approximation problem is a direct application of the Christoffel-Darboux formula for the set of orthogonal polynomials, including Gegenbauer orthogonal polynomials in the finite interval [−1, +1] with the application of a ...
Aleksandar D. Ilić +1 more
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A new original formulation of all pole low-pass filter functions is proposed in this article. The starting point in solving the approximation problem is a direct application of the Christoffel-Darboux formula for the set of orthogonal polynomials, including Gegenbauer orthogonal polynomials in the finite interval [−1, +1] with the application of a ...
Aleksandar D. Ilić +1 more
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South East Asian Journal of Mathematics and Mathematical Sciences
In this article, we investigate a three classes of generalized mixed type double Bernoulli-Gegenbauer-Gould and Hopper (BGG-H) polynomials. Some special polynomials of the generalized mixed type Bernoulli-Gegenbauer polynomials are discussed to obtain certain results and relations of our double (BGG-H) polynomials in terms of known and unknown ...
M. A. Pathan, Hemant Kumar
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In this article, we investigate a three classes of generalized mixed type double Bernoulli-Gegenbauer-Gould and Hopper (BGG-H) polynomials. Some special polynomials of the generalized mixed type Bernoulli-Gegenbauer polynomials are discussed to obtain certain results and relations of our double (BGG-H) polynomials in terms of known and unknown ...
M. A. Pathan, Hemant Kumar
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