Results 91 to 100 of about 246 (165)

On a generalized class of \(q\)-Gegenbauer polynomials and subordination-defined bi-univalent functions

open access: yesOpen Journal of Mathematical Analysis
This work introduces a unique family of bi-univalent functions utilising \(q\)-Gegenbauer polynomials. The estimates of the initial coefficients \(\left\vert a_{2}\right\vert\) and \(\left\vert a_{2}\right\vert\) for functions in this new class, together with the Fekete-Szegö functional, have been obtained.
Abdullah Alatawi   +2 more
openaire   +1 more source

Analytical Solution of Generalized Fractional Integro-Differential Equations via Shifted Gegenbauer Polynomials

open access: yesMATEMATIKA
In this paper, we proposed an analytical solution for generalized fractional order integro-differential equations with non-local boundary conditions via shifted Gegenbauer polynomials as an approximating polynomial using the Galerkin method and collocation techniques involving operational matrix that make use of the Liouville-Caputo operator of ...
Kazeem Issa   +2 more
openaire   +1 more source

On the asymptotic behavior of the maximum absolute value of generalized Gegenbauer polynomials

open access: yes, 2016
Using well-known facts on Jacobi polynomials, we derive some asymptotic estimates for the maximum absolute value of generalized Gegenbauer polynomials.
openaire   +2 more sources

The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials

open access: yesJournal of Computational and Applied Mathematics, 1986
The main object of the paper is the calculation and study of the weight functions and orthogonality relations corresponding to sequences of polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials. Section 2 contains the underlying theory restricted to the citation of a few general formulas regarding the orthogonality of
openaire   +2 more sources

Optimal vaccination: various (counter) intuitive examples. [PDF]

open access: yesJ Math Biol, 2023
Delmas JF, Dronnier D, Zitt PA.
europepmc   +1 more source

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