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

Danil Krotkov

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arXiv · 1907.04109

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

Danil Krotkov

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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 $f(x)$ of the form $x+x^2\mathbb{C}[[x]]$.

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Danil Krotkov. 2019-07-09. On polynomials of binomial type, exponential integral and the inverse logarithmic derivative eigenproblem. https://arxiv.org/abs/1907.04109

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