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Zeros of classical orthogonal polynomials of a discrete variable
(Amer Mathematical Soc, 2013-04-01)
In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called Hellmann-Feynman ...
Zeros of classical orthogonal polynomials of a discrete variable
(Amer Mathematical Soc, 2014)
ZEROS OF CLASSICAL ORTHOGONAL POLYNOMIALS OF A DISCRETE VARIABLE
(Amer Mathematical SocProvidenceEUA, 2013)
A discrete weighted Markov-Bernstein inequality for sequences and polynomials
(Elsevier B.V., 2021-01-01)
For parameters c is an element of(0,1) and beta > 0, let l(2)(c ,beta) be the Hilbert space of real functions defined on N (i.e., real sequences), for which parallel to f parallel to(2)(c,beta) := Sigma(infinity)(k=0)(beta)(k)/k! ...
Zeros of classical orthogonal polynomials of a discrete variable
(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 ...
Stieltjes functions and discrete classical orthogonal polynomials
(Springer, 2013-10-01)
Classical orthogonal polynomials can be characterized in terms of the corresponding Stieltjes function. We consider the construction of a Stieltjes function in terms of the falling factorials for discrete classical orthogonal ...