17 citations · 51 across the 11 of their papers we have counts for
12 papers
Complementary Romanovski-Routh polynomials and their zeros
Luana L. Silva Ribeiro, Alagacone Sri Ranga, Yen Chi Lun
The efficacy of numerical methods like integral estimates via Gaussian quadrature formulas depends on the localization of the zeros of the associated family of orthogonal polynomia…
Quadrature rules from a type recurrence relation and associated quadrature rules on the unit circle
Cleonice F. Bracciali, Junior A. Pereira, A. Sri Ranga
We consider the theoretical and numerical aspects of the quadrature rules associated with a sequence of polynomials generated by a special recurrence relation. We also loo…
Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions
A. Martínez-Finkelshtein, L. L. Silva Ribeiro, A. Sri Ranga +1
We consider properties and applications of a sequence of polynomials known as complementary Romanovski-Routh polynomials (CRR polynomials for short). These polynomials, which follo…
Christoffel formula for kernel polynomials on the unit circle
Cleonice F. Bracciali, Andrei Martínez-Finkelshtein, A. Sri Ranga +1
Given a nontrivial positive measure on the unit circle, the associated Christoffel-Darboux kernels are , $n \geq…
Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair
Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga
When a measure on the real line is subjected to the modification , then the coefficients of the recurrence relation of the orthogonal polynomia…
Two families of orthogonal polynomials on the unit circle from basic hypergeometric functions
A. Sri Ranga
The sequence of basic hypergeometric polynomials is known to be orthogonal on the uni…
Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences
Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga +1
It was shown recently that associated with a pair of real sequences , with a positive chain seque…
type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
Mourad E. H. Ismail, Alagacone Sri Ranga
We consider a sequence of polynomials satisfying a special type recurrence relation where the zeros of are simple and lie on the real line. It t…
Orthogonal Polynomials Associated with Complementary Chain Sequences
Kiran Kumar Behera, A. Sriranga, A. Swaminathan
Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using…
Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure
A. Martinez-Finkelshtein, A. Sri Ranga, Daniel O. Veronese
Given a non-trivial Borel measure on the unit circle , the corresponding reproducing (or Christoffel-Darboux) kernels with one of the variables fixed at consti…
Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
Cleonice F. Bracciali, Alagacone Sri Ranga, Anbhu Swaminathan
When a nontrivial measure on the unit circle satisfies the symmetry then the associated OPUC, say , are all real. In this case, Delsarte a…
A class of orthogonal functions given by a three term recurrence formula
Cleonice F. Bracciali, John H. McCabe, Teresa E. Pérez +1
The main goal in this manuscript is to present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This cl…