vix.ing · top · new · best · stats · spec

A note on infinite series whose terms involve truncated degenerate exponentials

2023/01/09 by Dae San Kim, Hye Kyung Kim, Kim, Dae San +3
Mathematics · #Advanced Mathematical Identities #Mathematical functions and polynomials #Iterative Methods for Nonlinear Equations

paper · pdf · doi:10.48550/arxiv.2301.03176

Abstract

The degenerate exponentials play an important role in recent study on degenerate versions of many special numbers and polynomials, the degenerate gamma function, the degenerate umbral calculus and the degenerate q-umbral calculus. The aim of this note is to consider infinite series whose terms involve truncated degenerate exponentials together with several special numbers and to find either their values or some other expressions of them as finite sums.

Related