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.
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.
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
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
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