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Open AccessArticle

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

Department of Mathematics, Pusan National University, Busan 46241, Korea
Mathematics 2019, 7(11), 1064; https://doi.org/10.3390/math7111064
Received: 28 September 2019 / Revised: 3 November 2019 / Accepted: 4 November 2019 / Published: 6 November 2019
(This article belongs to the Special Issue Special Polynomials)
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 Sheffer sequences; umbral calculus; binomial convolution; degeneration; Changhee polynomials; Daehee polynomials; degenerate Changhee polynomials; degenerate Daehee polynomials
MDPI and ACS Style

Kim, D. A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types. Mathematics 2019, 7, 1064.

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