12 citations · 37 across the 19 of their papers we have counts for
4 papers · 1 filter
New identities for a sum of products of the Kummer functions
S. I. Kalmykov, D. B. Karp
Recently, Feng, Kuznetsov and Yang discovered a very general reduction formula for a sum of products of the generalized hypergeometric functions (J. Math. Anal. Appl. 443(2016), 11…
Removable sets for intrinsic metric and for holomorphic functions
Sergei Kalmykov, Leonid V. Kovalev, Tapio Rajala
We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every…
Uniform convergence of Green's functions
Sergei Kalmykov, Leonid V. Kovalev
Given a sequence of regular planar domains converging in the sense of kernel, we prove that the corresponding Green's functions converge uniformly on the complex sphere, provided t…
Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros
Sergei Kalmykov, Béla Nagy
Higher order Bernstein- and Markov-type inequalities are established for trigonometric polynomials on compact subsets of the real line and algebraic polynomials on compact subsets…