A. Swaminathan

activity

20112025

most citedStarlike And Convex Functions Associated with A Nephroid domain having Cusps On The Real Axis

95 citations · 183 across the 31 of their papers we have counts for

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math.CA2023

Orthogonality of a new family of $q$ -Sobolev type polynomials

Neha, A. Swaminathan

In this work, we introduce and construct specific $q$ -polynomials that are desired from the well-established families of $q$ -orthogonal polynomials, namely little $q$ -Jacobi polyno…

math.CA2023

Inequalities involving a measure of Marcellán class and zeros of corresponding orthogonal polynomials

Vikash Kumar, A. Swaminathan

Let $Φ ~_{n}$ be a quasi-orthogonal polynomial of order 1 on the unit circle, obtained from an orthogonal polynomial $Φ_{n}$ with measure $μ$ , which is in the Marcellán class, if t…

math.CA2023

Generalized co-polynomials of $R_{I I}$ type and associated quadrature rules

Vinay Shukla, A. Swaminathan

When the co-recursion and co-dilation in the recurrence relation of certain sequences of orthogonal polynomials are not at the same level, the behaviour of the modified orthogonal…

Orthogonality of a new family of q-Sobolev type polynomials

Inequalities involving a measure of Marcellán class and zeros of corresponding orthogonal polynomials

Generalized co-polynomials of RII​ type and associated quadrature rules

Orthogonality of a new family of $q$ -Sobolev type polynomials

Generalized co-polynomials of $R_{I I}$ type and associated quadrature rules