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math.CA2024
Stability of the Toda equations related to a perturbed type recurrence relation
Vinay Shukla, A. Swaminathan
In this manuscript, a modified type recurrence relation is considered whose recurrence coefficients are perturbed by addition or multiplication of a constant. The perturbed s…
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…