A class of sheffer sequences of some complex polynomials and their degenerate types

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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.

Original languageEnglish
Article number1064
JournalMathematics
Volume7
Issue number11
DOIs
StatePublished - 1 Nov 2019

Keywords

  • Binomial convolution
  • Changhee polynomials
  • Daehee polynomials
  • Degenerate Changhee polynomials
  • Degenerate Daehee polynomials
  • Degeneration
  • Sheffer sequences
  • Umbral calculus

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