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

Dojin Kim
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Dojin Kim: Department of Mathematics, Pusan National University, Busan 46241, Korea

Mathematics, 2019, vol. 7, issue 11, 1-17

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.

Keywords: Sheffer sequences; umbral calculus; binomial convolution; degeneration; Changhee polynomials; Daehee polynomials; degenerate Changhee polynomials; degenerate Daehee polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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