S. Kalmykov

collaborators

2 papers

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…