Results 121 to 130 of about 441,925 (264)
AIMS MathematicsThis research paper focused on the solution of systems of fractional integro-differential equations (FIDEs) of the Volterra type with variable coefficients. The proposed approach combined the tau method and shifted Gegenbauer polynomials in a matrix form.
Khadijeh Sadri +4 more
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Momentum-space conformal blocks on the light cone
Journal of High Energy Physics, 2018 We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks.
Marc Gillioz
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Results on the associated Jacobi and Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 1993 In this paper the author first proves that the coefficients \(b_{nk}^{(\alpha, \beta)}\) which occur in the expansion of associated Jacobi polynomials \(P_ n^{(\alpha, \beta)} (x;c)\) due to \textit{J. Wimp} [Can. J. Math. 39, 983-1000 (1987; Zbl 0643.33009)] in terms of classical Jacobi polynomials \(P_ n^{(\alpha, \beta)}(x)\) obey a second order ...
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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
Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Advances in Mechanical Engineering, 2017 Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal +3 more
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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
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New generating functions for Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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