Results 231 to 240 of about 45,476 (265)
Some of the next articles are maybe not open access.
Asymptotics of the Wilson polynomials
Analysis and Applications, 2019In this paper, we study the asymptotic behavior of the Wilson polynomials [Formula: see text] as their degree tends to infinity. These polynomials lie on the top level of the Askey scheme of hypergeometric orthogonal polynomials. Infinite asymptotic expansions are derived for these polynomials in various cases, for instance, (i) when the variable ...
Li, Yu-Tian +2 more
openaire +2 more sources
On the Askey-Wilson polynomials
Constructive Approximation, 1992Classical orthogonal polynomials of a discrete variable on non-uniform lattices were introduced by \textit{R. Askey} and \textit{J. A. Wilson} [SIAM J. Math. Anal. 10, 1008-1016 (1979; Zbl 0437.33014)], and \textit{J. A. Wilson} [ibid. 11, 690-701 (1980; Zbl 0454.33007)] and their main properties were established on the basis of the theory of ...
Atakishiev, N. M., Suslov, S. K.
openaire +2 more sources
Constructive Approximation, 1991
The Wilson polynomials appear on top of the Askey table of hypergeometric orthogonal polynomials and thus are, together with the Racah polynomials, the most general system of hypergeometric orthogonal polynomials. They can be written as an hypergeometric \(_ 4F_ 3(1)\) in which the variable \(x\) appears in two of the numerator parameters as the ...
openaire +1 more source
The Wilson polynomials appear on top of the Askey table of hypergeometric orthogonal polynomials and thus are, together with the Racah polynomials, the most general system of hypergeometric orthogonal polynomials. They can be written as an hypergeometric \(_ 4F_ 3(1)\) in which the variable \(x\) appears in two of the numerator parameters as the ...
openaire +1 more source
Multivariable Wilson polynomials
Journal of Mathematical Physics, 1989A multivariable biorthogonal generalization of the Wilson polynomials is presented. These are four distinct families, which in a special case occur in two complex conjugate pairs, that satisfy four biorthogonality relations among them. An interesting limit case is the multivariable continuous dual Hahn polynomials.
openaire +2 more sources
Characterizations of Wilson Systems Using Roots of Polynomials
Results in Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teena Kohli, Suman Panwar
openaire +2 more sources
On structure formulas for Wilson polynomials
Integral Transforms and Special Functions, 2015By studying various properties of some divided difference operators, we prove that Wilson polynomials are solutions of a second-order difference equation of hypergeometric type. Next, some new structure relations are deduced, the inversion and the connection problems are solved using an algorithmic method.
P. Njionou Sadjang +2 more
openaire +1 more source
On the Askey–Wilson polynomials and a $q$-beta integral
Proceedings of the American Mathematical Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
?Hidden symmetry? of Askey-Wilson polynomials
Theoretical and Mathematical Physics, 1991See the review in Zbl 0744.33009.
openaire +1 more source
Some Functions that Generalize the Askey-Wilson Polynomials
Communications in Mathematical Physics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grünbaum, F. Alberto, Haine, Luc
openaire +2 more sources
Askey-Wilson polynomials, kernel polynomials and association schemes
Graphs and Combinatorics, 1993For many of the classical association schemes, there are specific sets of orthogonal polynomials associated with them. When these can be found explicitly, the polynomials can be given as hypergeometric or basic hypergeometric series. A new association scheme was constructed by \textit{A. A. Ivanov}, \textit{M. E. Muzichuk} and \textit{V. A. Ustimenko} [
openaire +1 more source