A. Ranga

activity

20132022

most citedPara-orthogonal polynomials on the unit circle satisfying three term recurrence formulas

17 citations · 51 across the 11 of their papers we have counts for

collaborators

Showing 2016Show all

5 papers · 1 filter

math.CA2016

Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair

Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga

When a measure $ψ (x)$ on the real line is subjected to the modification $d ψ^{(t)} (x) = e^{- t x} d ψ (x)$ , then the coefficients of the recurrence relation of the orthogonal polynomia…

math.CA2016★ 2 cited

Two families of orthogonal polynomials on the unit circle from basic hypergeometric functions

A. Sri Ranga

The sequence ${_{2} ϕ_{1} (q^{- k}, q^{b + 1}; q^{- b - k + 1}; q, q^{- b + 1/2} z)}_{k \geq 0}$ of basic hypergeometric polynomials is known to be orthogonal on the uni…

math.CA2016

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 ${{c_{n}}_{n = 1}^{\infty}, {d_{n}}_{n = 1}^{\infty}}$ , with ${d_{n}}_{n = 1}^{\infty}$ a positive chain seque…

math.CA2016★ 1 cited

$R_{I I}$ 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 ${P_{n}}_{n \geq 0}$ satisfying a special $R_{I I}$ type recurrence relation where the zeros of $P_{n}$ are simple and lie on the real line. It t…

math.CA2016★ 4 cited

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…

Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair

Two families of orthogonal polynomials on the unit circle from basic hypergeometric functions

Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences

RII​ type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle

Orthogonal Polynomials Associated with Complementary Chain Sequences

$R_{I I}$ type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle