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math.NT2019
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…
math.NT2019★ 1 cited
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…
math.NT2019
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…