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

Author

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  • Dojin Kim

    (Department of Mathematics, Pusan National University, Busan 46241, Korea)

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.

Suggested Citation

  • Dojin Kim, 2019. "A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types," Mathematics, MDPI, vol. 7(11), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1064-:d:284225
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