Recovery of functional regularities based on Gegenbauer polynomials [PDF]
, 2015 Наведено обґрунтування вибору базової апроксимуючої функції в моделі відновлення функціональних залежностей в адитивній і мультиплікативній формах у вигляді поліномів Гегенбауера.
Дашук, В. А. +8 more
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Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method
Journal of New Theory, 2019 The object of the present paper is to derive the generating formulae for the Gegenbauer and modified Gegenbauer matrix polynomials by introducing a partial differential operatorand constructing the Lie algebra representation formalism of special linear ...
Ayman Shehata
doaj
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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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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The generalized Clifford-Gegenbauer polynomials revisited
, 2009 By applying a method introduced by De Bie and Sommen in Clifford superanalysis, the orthogonality relations of the generalized Clifford-Gegenbauer polynomials of wavelet analysis are extended.
De Schepper, Nele
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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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On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials
Pan-American Journal of MathematicsRecent direction of studies shows that there is a kin connection between regular functions and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent functions that involve the familiar Gegenbauer polynomials.
Rasheed Olawale Ayinla +1 more
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Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials [PDF]
, 2011 Here we present a connection between a sequence of numbers generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials.
Tian-Xiao He +5 more
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On the Generalized Class of Multivariable Humbert-Type Polynomials
International Journal of Mathematics and Mathematical SciencesThe present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini +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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