Results 231 to 240 of about 441,925 (264)

Gegenbauer, Jacobi, and Orthogonal Polynomials

2016
In earlier chapters we dealt with special sets of orthogonal polynomials, namely, Chebyshev and Hermite polynomials. In Chs. 9 and 10 we will study other orthogonal polynomials, namely, Laguerre and Legendre. All of these polynomial functions share many properties.
L. Srinivasa Varadharajan, Vasudevan Lakshminarayanan   +1 more
openaire   +2 more sources

ON GEGENBAUER POLYNOMIALS

Universal Journal of Mathematics and Mathematical Sciences, 2021
U. E. Edeke, N. E. Udo
openaire   +2 more sources

Subclasses of bi-univalent functions subordinate to gegenbauer polynomials

Afrika Matematika, 2023
A. Amourah, Z. Salleh, B. Frasin, Muhammad Ghaffar Khan, B. Ahmad   +4 more
semanticscholar   +1 more source

Computing with Expansions in Gegenbauer Polynomials

SIAM Journal on Scientific Computing, 2009
We develop fast algorithms for computations involving finite expansions in Gegenbauer polynomials. A method is described to convert any finite expansion between different families of Gegenbauer polynomials. For a degree-$n$ expansion the computational cost is $\mathcal{O}(n(\log(1/\varepsilon)+|\alpha-\beta|))$, where $\varepsilon$ is the prescribed ...
openaire   +2 more sources

Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials: some properties

Communications in Applied and Industrial Mathematics
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 ...
Dionisio Peralta, Yamilet Quintana
semanticscholar   +1 more source

Information entropy of Gegenbauer polynomials and Gaussian quadrature [PDF]

Journal of Physics A: Mathematical and General, 2003
\textit{V. S. Buyarov}, \textit{P. López-Artés}, \textit{A. Martínez-Finkelshtein} and \textit{W. van Assche} [J. Phys. A, Math. Gen. 33, No. 37, 6549--6560 (2000; Zbl 1008.81015)] used two auxiliary polynomials to evaluate the information entropy of the Gegenbauer polynomials \(C^{(\lambda)}_n(x)\) in the case when one of the polynomials used was \(P ...
openaire   +1 more source

Gegenbauer-Sobolev Orthogonal Polynomials

1994
In this paper, orthogonal polynomials in the Sobolev space W 1,2([-1,1], p (α),λ p (α)), where \({\rho ^{(\alpha )}} = {(1 - {x^2})^{\alpha - \frac{1}{2}}},\alpha >- \frac{1}{2}\) and λ ≥ 0, are studied. For these non-standard orthogonal polynomials algebraic and differential properties are obtained, as well as the relation with the classical ...
Teresa E. Pérez, Miguel A. Piñar, Francisco Marcellán   +2 more
openaire   +2 more sources

An Efficient Numerical Scheme to Approach the Time Fractional Black–Scholes Model Using Orthogonal Gegenbauer Polynomials

Computational Economics, 2023
Y. E. Aghdam, H. Mesgarani, A. Amin, J. F. Gómez‐Aguilar   +3 more
semanticscholar   +1 more source

A NOTE ON GEGENBAUER POLYNOMIALS [PDF]

The Quarterly Journal of Mathematics, 1938
openaire   +2 more sources

Comparison of Sequence of Physical Processes (SPP) and Fourier Transform Coupled with Chebyshev Polynomials (FTC) methods to Interpret Large Amplitude Oscillatory Shear (LAOS) Response of Viscoelastic Doughs and Viscous Pectin Solution

Food Hydrocolloids, 2022
Merve Yildirim Erturk, Simon A Rogers, Jozef L Kokini   +2 more
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