1 citations · 1 across the 6 of their papers we have counts for
6 papers
On a certain type of deformation of umbral orthogonal polynomials
Danil Krotkov
In the present paper we derive complicated families of orthogonal polynomials in one variable from scratch using the known ones as building blocks. We recall the basics of operatio…
On families of monic polynomials
Danil Krotkov
In this paper we derive generalizations of different properties of monic polynomial families of binomial type, i.e. families of monic polynomials, for which the binomial theorem ho…
Infinite elliptic hypergeometric series: convergence and difference equations
D. I. Krotkov, V. P. Spiridonov
We derive finite difference equations of infinite order for theta hypergeometric series and investigate the space of their solutions. In general, such infinite series diverge, we d…
Taking the logarithm of binomial type sequences: linear approach
Danil Krotkov
In this paper we obtain the formal asymptotic expansion of the logarithms of , which are canonical continuations of polynomials of binomial type . Our…
On polynomials of binomial type, exponential integral and the inverse logarithmic derivative eigenproblem
Danil Krotkov
In this work we continue to study the properties of polynomials of binomial type and their canonical continuations to the complex index by exploring the properties of transformatio…
On polynomials of binomial type, Ramanujan-Soldner constant and inverse logarithmic derivative operator
Danil Krotkov
In this work we introduce interesting infinite series, related to Ramanujan-Soldner constant. Our method uses general properties of polynomials of binomial type and Lagrange invers…