Results 51 to 60 of about 538,632 (288)
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III [PDF]
, 2016 In a previous paper, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
Odake, Satoru
core +3 more sources
QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach [PDF]
, 2016 We present a detailed QCD analysis of nucleon structure functions $x{F}_{3}(x,{Q}^{2})$, based on Laplace transforms and the Jacobi polynomials approach.
S. M. Nejad +3 more
semanticscholar +1 more source
Inversion Integrals Involving Jacobi's Polynomials [PDF]
Proceedings of the American Mathematical Society, 1964 These standardizations for 13= 1/2 reduce to the standardized Gegenbauer polynomials used by Buschman when k is an even integer in [2]. Thus the results of [2] are particular cases of those given here when k is an even integer. A generalization, for the case when k is an odd integer in the standardizations used by Buschman, appears to be impossible ...
openaire +1 more source
On the Integral Representation of Jacobi Polynomials
MathematicsIn this paper, we present a new integral representation for the Jacobi polynomials that follows from Koornwinder’s representation by introducing a suitable new form of Euler’s formula.
Enrico De Micheli
doaj +1 more source
Extended Jacobi Functions via Riemann-Liouville Fractional Derivative
Abstract and Applied Analysis, 2013 By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials.
Bayram Çekim, Esra Erkuş-Duman
doaj +1 more source
An elementary representation of the higher-order Jacobi-type differential equation
, 2017 We investigate the differential equation for the Jacobi-type polynomials which are orthogonal on the interval $[-1,1]$ with respect to the classical Jacobi measure and an additional point mass at one endpoint.
Markett, Clemens
core +1 more source
Multiple big q-Jacobi polynomials
Bulletin of Mathematical Sciences, 2020 Here, we investigate type II multiple big [Formula: see text]-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order [Formula: see text]-difference equation, and we obtain recurrence relations.
Fethi Bouzeffour, Mubariz Garayev
openaire +3 more sources
International Journal for Numerical Methods in Fluids, EarlyView.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
Orthogonal Polynomials from Hermitian Matrices II [PDF]
, 2018 This is the second part of the project `unified theory of classical orthogonal polynomials of a discrete variable derived from the eigenvalue problems of hermitian matrices.' In a previous paper, orthogonal polynomials having Jackson integral measures ...
Odake, Satoru, Sasaki, Ryu
core +2 more sources
A Spectral Identity on Jacobi Polynomials and its Analytic Implications
Canadian mathematical bulletin, 2017 The Jacobi coefficients $c_{j}^{\ell }\left( \alpha ,\,\beta \right)\,\left( 1\,\le \,j\,\le \,\ell ,\,\alpha ,\,\beta \,>\,-1 \right)$ are linked to the Maclaurin spectral expansion of the Schwartz kernel of functions of the Laplacian on a compact rank ...
R. Awonusika, A. Taheri
semanticscholar +1 more source