Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
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, explicit expression and the weight function for these polynomials are obtained. We construct also a new explicit example of t...
Main Authors: | Luc Vinet, Alexei Zhedanov |
---|---|
Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2007-01-01
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://www.emis.de/journals/SIGMA/2007/003/ |
Similar Items
-
Expressions of Legendre polynomials through Bernoulli polynomials
by: Vu Kim Tuan, et al.
Published: (2011-01-01) -
A Bochner Theorem for Dunkl Polynomials
by: Luc Vinet, et al.
Published: (2011-02-01) -
Orthogonal polynomials of dimension –1 in the non-definite case
by: C. BREZINSKI, et al.
Published: (1994-01-01) -
On the estimation of functions belonging to Lipschitz class by block pulse functions and hybrid Legendre polynomials
by: S. Lal, et al.
Published: (2020-06-01) -
Stability of Traveling Waves Based upon the Evans Function and Legendre Polynomials
by: H. M. Srivastava, et al.
Published: (2020-01-01)