English

On polynomials of binomial type, exponential integral and the inverse logarithmic derivative eigenproblem

Number Theory 2019-07-10 v1

Abstract

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 transformation T:=1/dlog which acts on formal power series f(x)f(x) of the form x+x2C[[x]]x+x^2\mathbb{C}[[x]].

Keywords

Cite

@article{arxiv.1907.04109,
  title  = {On polynomials of binomial type, exponential integral and the inverse logarithmic derivative eigenproblem},
  author = {Danil Krotkov},
  journal= {arXiv preprint arXiv:1907.04109},
  year   = {2019}
}
R2 v1 2026-06-23T10:16:00.095Z