Geodesic
On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a $q$-parameter :
Negiz, E. 1   ; Acikgoz, M. 1   ; Duran, U. 2
1 Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkiye
2 Department of Basic Sciences of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, TR-31200, Hatay, Turkiye
Journal of nonlinear sciences and its applications, Tome 16 (2023) no. 1, p. 18-29 Cet article a éte moissonné depuis la source International Scientific Research Publications

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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.

DOI : 10.22436/jnsa.016.01.02
Classification : 33C45, 11B68, 11B73
Keywords: Gould-Hopper polynomials, Bernoulli polynomials, poly-Bernoulli polynomials, degenerate Bernoulli function, Stirling numbers of the first kind

Negiz, E.  1   ; Acikgoz, M.  1   ; Duran, U.  2

1 Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkiye
2 Department of Basic Sciences of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, TR-31200, Hatay, Turkiye 
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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 its applications, Tome 16 (2023) no. 1, p. 18-29. doi: 10.22436/jnsa.016.01.02

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