Results 41 to 50 of about 81,358 (250)
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
wiley +1 more source
JHEP 01 (2022) 076, 2021 We investigate radiatively stable classes of pseudo-Nambu-Goldstone boson (pNGB) potentials for approximate spontaneously broken $\mathrm{SO}(N+1)\to\mathrm{SO}(N)$. Using both the one-loop effective action and symmetry, it is shown that a Gegenbauer polynomial potential is radiatively stable, being effectively an `eigenfunction' from a radiative ...
arxiv +1 more source
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
openalex +4 more sources
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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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
wiley +1 more source
A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
Axioms, 2023 Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials.
Ala Amourah +5 more
doaj +1 more source
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
doaj +1 more source
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
core +3 more sources
Runge-Kutta-Gegenbauer explicit methods for advection-diffusion problems [PDF]
, 2019 In this paper, Runge-Kutta-Gegenbauer (RKG) stability polynomials of arbitrarily high order of accuracy are introduced in closed form. The stability domain of RKG polynomials extends in the the real direction with the square of polynomial degree, and in ...
O'Sullivan, Stephen
core +3 more sources
Weighted $$L^2$$-norms of Gegenbauer polynomials [PDF]
Aequationes mathematicae, 2022 We study integrals of the form \begin{equation*} \int_{-1}^1(C_n^{( )}(x))^2(1-x)^ (1+x)^ \, dx, \end{equation*} where $C_n^{( )}$ denotes the Gegenbauer-polynomial of index $ >0$ and $ , >-1$. We give exact formulas for the integrals and their generating functions, and obtain asymptotic formulas as $n\to\infty$.
Johann S. Brauchart, Peter J. Grabner
openaire +2 more sources