On polynomials of binomial type, Ramanujan-Soldner constant and inverse logarithmic derivative operator
Number Theory
2019-07-10 v1
Abstract
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 inversion theorem. Also we study properties of the operator 1/dlog, acting on formal power series. In addition, several properties of polynomials of binomial type associated to elementary functions are discussed.
Keywords
Cite
@article{arxiv.1907.04089,
title = {On polynomials of binomial type, Ramanujan-Soldner constant and inverse logarithmic derivative operator},
author = {Danil Krotkov},
journal= {arXiv preprint arXiv:1907.04089},
year = {2019}
}