Results 31 to 40 of about 6,433 (235)
Bounds for extreme zeros of some classical orthogonal polynomials [PDF]
, 2011 We derive upper bounds for the smallest zero and lower bounds for the largest zero of Laguerre, Jacobi and Gegenbauer polynomials. Our approach uses mixed three term recurrence relations satisfied by polynomials corresponding to different parameter(s ...
Driver, K., Jordaan, K.
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On the asymptotic expansion of the entropy of Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 2002 AbstractIn this paper, the third term in the asymptotic expansion of the entropy for orthonormal Gegenbauer polynomials with fixed integer parameter is obtained as the degree of the polynomials tends to infinity, improving the results of Buyarov et al. (J. Phys. A 33 (2000) 6549).
J.F. Sánchez-Lara
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Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023 This paper uses Müntz orthogonal functions to numerically solve the fractional Bagley–Torvik equation with initial and boundary conditions. Müntz orthogonal functions are defined on the interval [0, 1] and have simple and distinct real roots on this interval.
S. Akhlaghi +3 more
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Some relations on Humbert matrix polynomials [PDF]
Mathematica Bohemica, 2016 The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix ...
Ayman Shehata
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An Operational Matrix Method Based on the Gegenbauer Polynomials for Solving a Class of Fractional Optimal Control Problems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2021 One of the most important classes of fractional calculus is the fractional optimal control problem (FOCP), which arises in engineering. This study presents a direct and efficient numerical method for solving a class of (FOCPs) in which the fractional ...
Farzaneh Soufivand +2 more
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Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 This article is devoted to deriving a new linearization formula of a class for Jacobi polynomials that generalizes the third‐kind Chebyshev polynomials class. In fact, this new linearization formula generalizes some existing ones in the literature. The derivation of this formula is based on employing a new moment formula of this class of polynomials ...
W. M. Abd-Elhameed +3 more
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Contributions of K0∗1430 and K0∗1950 in the Charmed Three‐Body B Meson Decays
Advances in High Energy Physics, Volume 2023, Issue 1, 2023., 2023 In this work, we investigate the resonant contributions of K0∗1430 and K0∗1950 in the three‐body B(s)⟶D(s)Kπ within the perturbative QCD approach. The form factor Fkπ(s) is adopted to describe the nonperturbative dynamics of the S‐wave Kπ system. The branching ratios of all concerned decays are calculated and predicted to be in the order of 10−10 to 10−
Bo-Yan Cui +2 more
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On an umbral treatment of Gegenbauer, Legendre and Jacobi polynomials [PDF]
International Mathematical Forum, 2017 Special polynomials, ascribed to the family of Gegenbauer, Legen- dre, and Jacobi and of their associated forms, can be expressed in an operational way, which allows a high degree of flexibility for the for- mulation of the relevant theory. We develop a point of view based on an umbral type formalism, exploited in the past, to study some aspects of the
G. Dattoli +3 more
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Some results for sums of products of Chebyshev and Legendre polynomials
Advances in Difference Equations, 2019 In this paper, we perform a further investigation of the Gegenbauer polynomials, the Chebyshev polynomials of the first and second kinds and the Legendre polynomials.
Yuan He
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New connection formulae for some q-orthogonal polynomials in q-Askey scheme [PDF]
, 2007 New nonlinear connection formulae of the q-orthogonal polynomials, such continuous q-Laguerre, continuous big q-Hermite, q-Meixner-Pollaczek and q-Gegenbauer polynomials, in terms of their respective classical analogues are obtained using a special ...
A Yanallah +7 more
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