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Zero sets of bivariate Hermite polynomials
(Elsevier B.V., 2015-01-01)
We establish various properties for the zero sets of three families of bivariate Hermite polynomials. Special emphasis is given to those bivariate orthogonal polynomials introduced by Hermite by means of a Rodrigues type ...
Zeros of classical orthogonal polynomials of a discrete variable
(Amer Mathematical Soc, 2014)
Zero sets of bivariate Hermite polynomials
(Elsevier B.V., 2015)
Complementary romanovski-routh polynomials: From orthogonal polynomials on the unit circle to coulomb wave functions
(2019-01-01)
We consider properties and applications of a sequence of polynomials Known as complementary RomanovsKi-Routh polynomials (CRR polynomials for short). These polynomials, which follow from the RomanovsKi-Routh polynomials ...
SYMMETRICAL ORTHOGONAL POLYNOMIALS AND THE ASSOCIATED ORTHOGONAL L-POLYNOMIALS
(Amer Mathematical Soc, 2014)
Zeros of a family of hypergeometric para-orthogonal polynomials on the unit circle
(2013-08-01)
Para-orthogonal polynomials derived from orthogonal polynomials on the unit circle are known to have all their zeros on the unit circle. In this note we study the zeros of a family of hypergeometric para-orthogonal ...
Zeros of a family of hypergeometric para-orthogonal polynomials on the unit circle
(2013-08-01)
Para-orthogonal polynomials derived from orthogonal polynomials on the unit circle are known to have all their zeros on the unit circle. In this note we study the zeros of a family of hypergeometric para-orthogonal ...
Laguerre polynomials as Jensen polynomials of Laguerre-Polya entire functions
(Elsevier B.V., 2009-12-01)
We prove that the only Jensen polynomials associated with an entire function in the Laguerre-Polya class that are orthogonal are the Laguerre polynomials. (C) 2009 Elsevier B.V. All rights reserved.