3 papers
math.CA2024
Orthogonality of quasi-nature spectral polynomials of Jacobi and Laguerre type
Vikash Kumar, A. Swaminathan
In this work, the explicit expressions of coefficients involved in quasi Christoffel polynomials of order one and quasi-Geronimus polynomials of order one are determined for Jacobi…
math.CA2024
Recovering orthogonality from quasi-nature of Spectral transformations
Vikash Kumar, Francisco Marcellán, A. Swaminathan
In this contribution, quasi-orthogonality of polynomials generated by Geronimus and Uvarov transformations is analyzed. An attempt is made to discuss the recovery of the source ort…
math.CA2023
Inequalities involving a measure of Marcellán class and zeros of corresponding orthogonal polynomials
Vikash Kumar, A. Swaminathan
Let be a quasi-orthogonal polynomial of order 1 on the unit circle, obtained from an orthogonal polynomial with measure , which is in the Marcellán class, if t…