On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a \(q\)-parameter
Authors
E. Negiz
- Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkiye.
M. Acikgoz
- Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkiye.
U. Duran
- Department of Basic Sciences of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, TR-31200, Hatay, Turkiye.
Abstract
In this paper, the Gould-Hopper based fully degenerate type2 poly-Stirling
polynomials of the first kind with a \(q\) parameter are considered and some
of their diverse identities and properties are investigated. Then, the
Gould-Hopper based fully degenerate type2 poly-Bernoulli polynomials with a
\(q\) parameter are introduced and some of their properties are analyzed and
derived. Furthermore, several formulas and relations covering implicit
summation formulas, recurrence relations and symmetric property are attained.
Share and Cite
ISRP Style
E. Negiz, M. Acikgoz, U. Duran, On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a \(q\)-parameter, Journal of Nonlinear Sciences and Applications, 16 (2023), no. 1, 18--29
AMA Style
Negiz E., Acikgoz M., Duran U., On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a \(q\)-parameter. J. Nonlinear Sci. Appl. (2023); 16(1):18--29
Chicago/Turabian Style
Negiz, E., Acikgoz, M., Duran, U.. "On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a \(q\)-parameter." Journal of Nonlinear Sciences and Applications, 16, no. 1 (2023): 18--29
Keywords
- Gould-Hopper polynomials
- Bernoulli polynomials
- poly-Bernoulli polynomials
- degenerate Bernoulli function
- Stirling numbers of the first kind
MSC
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