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A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types

Dojin Kim

Mathematics · 2019

doi:10.3390/math7111064 (opens in a new tab)

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Abstract

We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial sequences. Moreover, considering their degenerate types of Sheffer sequences based on umbral composition, we present some useful expressions, properties, and examples about complex versions of the degenerate polynomials.

Abstract licence: CC BY

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