Results 111 to 120 of about 446,531 (268)
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source
Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas +2 more
doaj +1 more source
AIMS MathematicsThis manuscript aims to provide numerical solutions for the FitzHugh–Nagumo (FH–N) problem. The suggested approximate solutions are spectral and may be achieved using the standard collocation technique.
Waleed Mohamed Abd-Elhameed +2 more
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Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials
Mathematics, 2020 In this paper, we consider three sums of finite products of Chebyshev polynomials of two different kinds, namely sums of finite products of the second and third kind Chebyshev polynomials, those of the second and fourth kind Chebyshev polynomials, and ...
Taekyun Kim +3 more
doaj +1 more source
, 2016 In this paper, we introduce a novel pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system.
Elgindy, Kareem T.
core
Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials
Mathematics, 2019 The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh +2 more
doaj +1 more source
MathematicsThis paper introduces a novel Shifted Gegenbauer Pseudospectral (SGPS) method for approximating Caputo fractional derivatives (FDs) of an arbitrary positive order.
Kareem T. Elgindy
doaj +1 more source
A four dimensional Bernstein Theorem
, 2019 We prove a four dimensional version of the Bernstein Theorem, with complex polynomials being replaced by quaternionic polynomials. We deduce from the theorem a quaternionic Bernstein's inequality and give a formulation of this last result in terms of ...
Perotti, Alessandro
core
Matrix-valued Gegenbauer polynomials
, 2014 We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter $ >0$. The LDU-decomposition of the weight is explicitly given in terms of Gegenbauer polynomials. We establish a matrix-valued Pearson equation for these matrix weights leading
Koelink, Erik +2 more
openaire +2 more sources
Adomian decomposition method by Gegenbauer and Jacobi polynomials
International Journal of Computer Mathematics, 2011 In this paper, orthogonal polynomials on [–1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials.
Cenesiz, Yucel, Kurnaz, Aydin
openaire +2 more sources