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Open AccessArticle

A Note on the Degenerate Type of Complex Appell Polynomials

Department of Mathematics, Pusan National University, Busan 46241, Korea
Symmetry 2019, 11(11), 1339; https://doi.org/10.3390/sym11111339
Received: 3 October 2019 / Revised: 20 October 2019 / Accepted: 24 October 2019 / Published: 31 October 2019
In this paper, complex Appell polynomials and their degenerate-type polynomials are considered as an extension of real-valued polynomials. By treating the real value part and imaginary part separately, we obtained useful identities and general properties by convolution of sequences. To justify the obtained results, we show several examples based on famous Appell sequences such as Euler polynomials and Bernoulli polynomials. Further, we show that the degenerate types of the complex Appell polynomials are represented in terms of the Stirling numbers of the first kind. View Full-Text
Keywords: Appell polynomials; complex Appell polynomials; degenerate type of Appell polynomials; Stirling numbers Appell polynomials; complex Appell polynomials; degenerate type of Appell polynomials; Stirling numbers
MDPI and ACS Style

Kim, D. A Note on the Degenerate Type of Complex Appell Polynomials. Symmetry 2019, 11, 1339.

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