A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties
| Autor: | Praveen Agarwal, Rifaqat Ali, Abdulghani Muhyi, Waseem A. Khan, Manoj Singh, Khaled Ahmad Hassan Alzobydi |
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| Rok vydání: | 2021 |
| Předmět: |
degenerate unipoly functions
Pure mathematics General Mathematics Degenerate energy levels Function (mathematics) modified degenerate polyexponential functions Type (model theory) Object (computer science) Bernoulli polynomials symbols.namesake QA1-939 symbols Mathematics type 2 degenerate poly-bernoulli polynomials of the second kind |
| Zdroj: | AIMS Mathematics, Vol 6, Iss 11, Pp 12680-12697 (2021) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021731 |
| Popis: | The main object of this article is to present type 2 degenerate poly-Bernoulli polynomials of the second kind and numbers by arising from modified degenerate polyexponential function and investigate some properties of them. Thereafter, we treat the type 2 degenerate unipoly-Bernoulli polynomials of the second kind via modified degenerate polyexponential function and derive several properties of these polynomials. Furthermore, some new identities and explicit expressions for degenerate unipoly polynomials related to special numbers and polynomials are obtained. In addition, certain related beautiful zeros and graphical representations are displayed with the help of Mathematica. |
| Databáze: | OpenAIRE |
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