scholarly journals On the Zeros of a Class of Polynomials Defined by a Three Term Recurrence Relation

1994 ◽  
Vol 182 (2) ◽  
pp. 361-370 ◽  
Author(s):  
E.K. Ifantis ◽  
P.N. Panagopoulos
Keyword(s):  
Recurrence Relation ◽  
Three Term Recurrence Relation

scholarly journals An ubiquitous three-term recurrence relation

2021 ◽  
Vol 62 (3) ◽  
pp. 032106
Author(s):  
Paolo Amore ◽  
Francisco M. Fernández
Keyword(s):  
Recurrence Relation ◽  
Three Term Recurrence Relation

scholarly journals On hypergeometric generalized negative binomial distribution

2002 ◽  
Vol 29 (12) ◽  
pp. 727-736 ◽  
Author(s):  
M. E. Ghitany ◽  
S. A. Al-Awadhi ◽  
S. L. Kalla
Keyword(s):  
Recurrence Relation ◽  
Negative Binomial Distribution ◽  
Binomial Distribution ◽  
Field Data ◽  
Goodness Of Fit ◽  
Negative Binomial ◽  
Generalized Negative Binomial Distribution ◽  
The Right ◽  
Three Term Recurrence Relation

It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three-term recurrence relation for computing probabilities from the considered distribution is given. Application of the distribution to entomological field data is given and its goodness-of-fit is demonstrated.

scholarly journals On the three term recurrence relation and BDF methods

2020 ◽  
Author(s):  
Larissa Ferreira Marques ◽  
Vanessa Botta ◽  
Messias Meneguette
Keyword(s):  
Recurrence Relation ◽  
Bdf Methods ◽  
Three Term Recurrence Relation

scholarly journals ELEMENTARY OSCILLATION CRITERIA FOR A THREE TERM RECURRENCE RELATION WITH OSCILLATORY COEFFICIENT SEQUENCE

1998 ◽  
Vol 29 (3) ◽  
pp. 227-232
Author(s):  
GUANG ZHANG ◽  
SUI-SUN CHENG
Keyword(s):  
Recurrence Relation ◽  
Recurrence Relations ◽  
Qualitative Properties ◽  
Oscillation Criteria ◽  
Three Term Recurrence Relation

Qualitative properties of recurrence relations with coefficients taking on both positive and negative values are difficult to obtain since mathematical tools are scarce. In this note we start from scratch and obtain a number of oscillation criteria for one such relation : $x_{n+1}-x_n+p_nx_{n-r}\le 0$.

scholarly journals Asymptotic Behaviour of Christoffel–Darboux Kernel Via Three-Term Recurrence Relation I

2020 ◽  
Author(s):  
Grzegorz Świderski ◽  
Bartosz Trojan
Keyword(s):  
Asymptotic Behavior ◽  
Asymptotic Behaviour ◽  
Recurrence Relation ◽  
Scaling Limits ◽  
Christoffel Functions ◽  
Asymptotically Periodic ◽  
Three Term Recurrence Relation

Abstract For Jacobi parameters belonging to one of three classes: asymptotically periodic, periodically modulated, and the blend of these two, we study the asymptotic behavior of the Christoffel functions and the scaling limits of the Christoffel–Darboux kernel. We assume regularity of Jacobi parameters in terms of the Stolz class. We emphasize that the first class only gives rise to measures with compact supports.

scholarly journals Tridiagonal Operators and Zeros of Polynomials in Two Variables

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Chrysi G. Kokologiannaki ◽  
Eugenia N. Petropoulou ◽  
Dimitris Rizos
Keyword(s):  
Orthogonal Polynomials ◽  
Recurrence Relation ◽  
Adjoint Operator ◽  
Zeros Of Polynomials ◽  
Analytic Method ◽  
Classical Orthogonal Polynomials ◽  
Three Term Recurrence Relation

The aim of this paper is to connect the zeros of polynomials in two variables with the eigenvalues of a self-adjoint operator. This is done by use of a functional-analytic method. The polynomials in two variables are assumed to satisfy a five-term recurrence relation, similar to the three-term recurrence relation that the classical orthogonal polynomials satisfy.

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