Results 91 to 100 of about 441,925 (264)

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 ...
K. Issa   +2 more
semanticscholar   +1 more source

Time‐Series Factor Modeling and Selection

open access: yesJournal of Financial Research, Volume 48, Issue 2, Page 839-875, Summer 2025.
Abstract The article proposes a statistical time‐series factor model that incorporates deterministic orthogonal trend polynomials. Such polynomials allow capturing variation in returns without initially identifying a set of robust time‐series factors.
Michael Michaelides
wiley   +1 more source

Filter function synthesis by Gegenbauer generating function [PDF]

open access: yesSerbian Journal of Electrical Engineering, 2006
Low-pass all-pole transfer functions with non-monotonic amplitude characteristic in the pass-band and at least (n -1) flatness conditions for ω = 0 are considered in this paper.
Pavlović Vlastimir D.
doaj   +1 more source

Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation

open access: yesFractal and Fractional, 2023
In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara equation (NTFGKE).
Waleed Mohamed Abd-Elhameed   +3 more
doaj   +1 more source

Exponentials rarely maximize Fourier extension inequalities for cones

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We prove the existence of maximizers and the precompactness of Lp$L^p$‐normalized maximizing sequences modulo symmetries for all valid scale‐invariant Fourier extension inequalities on the cone in R1+d$\mathbb {R}^{1+d}$. In the range for which such inequalities are conjectural, our result is conditional on the boundedness of the extension ...
Giuseppe Negro   +3 more
wiley   +1 more source

A NEW EXTENSIONS OF GEGENBAUER POLYNOMIALS

open access: yesمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of one and two variables by using the extended Gamma function given by Chaudhry and Zubair [3]. Some properties of these extended polynomials such as generating functions,
Ahmed Ali Atash, Ahmed Ali Al-Gonah
doaj  

Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials

open access: yesGulf Journal of Mathematics, 2022
Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in the unit disc linked with Gegenbauer polynomials.
Swamy Sr, Waggas Galib Atshan
semanticscholar   +1 more source

On a generalization of the generating function for Gegenbauer polynomials [PDF]

open access: yesIntegral Transforms and Special Functions, 2013
A generalization of the generating function for Gegenbauer polynomials is introduced whose coefficients are given in terms of associated Legendre functions of the second kind. We discuss how our expansion represents a generalization of several previously derived formulae such as Heine's formula and Heine's reciprocal square-root identity.
openaire   +3 more sources

Distributed order hantavirus model and its nonstandard discretizations and stability analysis

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2404-2420, 30 January 2025.
It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus using distributed order differential equations.
Mehmet Kocabiyik, Mevlüde Yakit Ongun
wiley   +1 more source

Initial Coefficients Estimates and Fekete–Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

open access: yesAxioms, 2023
In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero-truncated Poisson distribution. For functions in the aforementioned class,
Mohamed Illafe   +3 more
doaj   +1 more source

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