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On Degenerate Array Type Polynomials

Lan Wu1, Xue-Yan Chen1, Muhammet Cihat Dağli2, Feng Qi3,4,*
1 Key Laboratory of Intelligent Manufacturing Technology, Inner Mongolia Minzu University, Tongliao, 028000, Inner Mongolia, China
2 Department of Mathematics, Akdeniz University, Antalya, 07058, Turkey
3 Institute of Mathematics, Henan Polytechnic University, Jiaozuo, 454010, China
4 School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China
* Corresponding Author: Feng Qi. Email:
(This article belongs to this Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 131(1), 295-305.

Received 17 August 2021; Accepted 27 October 2021; Issue published 24 January 2022


In the paper, with the help of the Faá di Bruno formula and an identity of the Bell polynomials of the second kind, the authors define degenerate λ-array type polynomials, establish two explicit formulas, and present several recurrence relations of degenerate λ-array type polynomials and numbers.


Degenerate array polynomial; Stirling number of the second kind; generating function; explicit formula; recurrence relation

Cite This Article

Wu, L., Chen, X., Dağli, M. C., Qi, F. (2022). On Degenerate Array Type Polynomials. CMES-Computer Modeling in Engineering & Sciences, 131(1), 295–305.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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