Results 21 to 30 of about 110,049 (182)
On the derivatives of generalized Gegenbauer polynomials [PDF]
, 2002 3 pages, no figures; submitted to Theor.
García Fuertes, Wifredo +1 more
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Generalized Gegenbauer orthogonal polynomials [PDF]
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.
Belmehdi, S.
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On the L 2 -norm of Gegenbauer polynomials. [PDF]
Math Sci (Karaj), 2022 AbstractGegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their $$L^2$$ L 2 -norm.
Ferizović D.
europepmc +5 more sources
Analytic Univalent fucntions defined by Gegenbauer polynomials [PDF]
Journal of Mahani Mathematical Research, 2023 The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time.
Sunday Olatunji
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A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS
Ural Mathematical Journal, 2023 In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
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Generalized mixed type Bernoulli-Gegenbauer polynomials [PDF]
, 2023 The generalized mixed type Bernoulli-Gegenbauer polynomials of order (infinite) > 1/2 are special polynomials obtained by use of the generating function method.
Quintana, Yamilet
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Exceptional Gegenbauer polynomials via isospectral deformation [PDF]
, 2022 In this paper, we show how to construct exceptional orthogonal polynomials (XOP) using isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux transformations, where repeated factorizations at the same
García-Ferrero, María Ángeles +7 more
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RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS
Проблемы анализа, 2020 We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
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, 2021 U ovom ćemo radu definirati Gegenbauerove polinome i predstaviti neka njihova osnovna svojstva. Pokazat ćemo da se mogu zapisati pomoću funkcija izvodnica, ali i da predstavljaju rješenje homogene linearne diferencijalne jednadžbe drugog reda.
Ujić, Nataša
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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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