Vinay Shukla

activity

20222026

most citedChain sequences and Zeros of a perturbed

R_{I I}

type recurrence relation

3 citations · 6 across the 11 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CA2026

Strong asymptotics for Jacobi-Piñeiro orthogonal polynomials

Sergei Kalmykov, Vladimir Lysov, Vinay Shukla

We investigate the asymptotic behavior of Jacobi-Piñeiro polynomials of degree $2 n$ orthogonal on $[0, 1]$ with respect to weights $w_{j} (x) = x^{α_{j}} (1 - x)^{β}$ , $j = 1, 2$ where $α_1,α_2,…

math.CA2026

Evaluation of terminating and non-terminating sums containing the digamma function

Sergei Kalmykov, Dmitrii Karp, Vinay Shukla

We derive transformation and summation formulas for terminating and nonterminating series involving the digamma function. Our principal results are obtained by a limiting process s…

math.CA2026

On Askey's extension of Clausen's identity and its polynomial perturbation

Dmitrii Karp, Vinay Shukla

The celebrated Clausen's identity expresses the square of the Gauss hypergeometric series $_{2} F_{1} (a, b; a + b + 1/2; x)$ as a single hypergeometric $_{3} F_{2}$ series. Goursat showed in…