Abstract

In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesting identities of several polynomials.MSC:05A40, 05A19.

Highlights

  • As is well known, the Bernoulli polynomials of order a are defined by the generating function to be t et – a ext = ∞ Bn(a) (x) tn n!, ( . ) n=and the Narumi polynomials are given by log( + t) a ( + t)x =Nn(a)(x) tn. t n!

  • 1 Introduction As is well known, the Bernoulli polynomials of order a are defined by the generating function to be t et

  • Frobenius-Euler polynomials of order a are defined by the generating function to be

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Summary

Introduction

1 Introduction As is well known, the Bernoulli polynomials of order a are defined by the generating function to be t et – The Narumi polynomials are given by log( + t) Frobenius-Euler polynomials of order a are defined by the generating function to be

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