2k citations
- University of British ColumbiaCA34 papers
- Centre National de la Recherche ScientifiqueFR25 papers
- University of TorontoCA25 papers
- University of ViennaAT22 papers
- Center for Astrophysics Harvard & SmithsonianUS20 papers
- Saint Mary's UniversityCA20 papers
- University of ArizonaUS14 papers
- St. Mary's UniversityCA13 papers
- Université du Québec à MontréalCA13 papers
- Université Paris CitéFR12 papers
- University of VictoriaCA12 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR10 papers
5 papers · 2 filters
Generalized Bochner theorem: characterization of the Askey-Wilson polynomials
Luc Vinet, Alexei Zhedanov
Assume that there is a set of monic polynomials satisfying the second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s) P_n(z(s-1)) = λ_n P_n(z(s)), n=…
The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation
Caroline Lambert, Christiane Rousseau
In this paper we study the confluence of two regular singular points of the hypergeometric equation into an irregular one. We study the consequence of the divergence of solutions a…
(Anti)symmetric multivariate exponential functions and corresponding Fourier transforms
A. Klimyk, J. Patera
We define and study symmetrized and antisymmetrized multivariate exponential functions. They are defined as determinants and antideterminants of matrices whose entries are exponent…
(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms
A. Klimyk, J. Patera
Four families of special functions, depending on n variables, are studied. We call them symmetric and antisymmetric multivariate sine and cosine functions. They are given as determ…
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Luc Vinet, Alexei Zhedanov
We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, expli…