On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials
Volume 21, Issue 3, pp 243--257
http://dx.doi.org/10.22436/jmcs.021.03.07
Publication Date: April 27, 2020
Submission Date: January 15, 2020
Revision Date: February 09, 2020
Accteptance Date: March 03, 2020
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Authors
Ugur Duran
- Department of the Basic Concepts of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, TR-31200 Hatay, Turkey.
Mehmet Acikgoz
- Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, TR-27310 Gaziantep, Turkey.
Abstract
In this paper, we introduce both the generalized degenerate Gould-Hopper
based degenerate Stirling polynomials of the second kind and the generalized
degenerate Gould-Hopper based fully degenerate Bell polynomials. We study
and investigate multifarious properties and relations of these polynomials
such as explicit formulas, differentiation rules and summation formulas.
Moreover, we derive several correlations with the degenerate Bernstein
polynomials for these polynomials. Furthermore, we acquire several
representations of the generalized degenerate Gould-Hopper based fully
degenerate Bell polynomials via not only the fully degenerate Bell
polynomials but also the generalized degenerate Gould-Hopper based
degenerate Bernoulli, Euler and Genocchi polynomials.
Share and Cite
ISRP Style
Ugur Duran, Mehmet Acikgoz, On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials, Journal of Mathematics and Computer Science, 21 (2020), no. 3, 243--257
AMA Style
Duran Ugur, Acikgoz Mehmet, On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials. J Math Comput SCI-JM. (2020); 21(3):243--257
Chicago/Turabian Style
Duran, Ugur, Acikgoz, Mehmet. "On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials." Journal of Mathematics and Computer Science, 21, no. 3 (2020): 243--257
Keywords
- Degenerate exponential function
- Bell polynomials
- Gould-Hopper polynomials
- Bernstein polynomials
- Stirling numbers of the second kind
MSC
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