A new class of partially degenerate Hermite-Genocchi polynomials
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2006
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Authors
Waseem A. Khan
- Department of Mathematics, Faculty of Science, Integral University, Lucknow-226026, India.
Serkan Araci
- Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, TR-27410 Gaziantep, Turkey.
Mehmet Acikgoz
- Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkey.
Hiba Haroon
- Department of Mathematics, Faculty of Science, Integral University, Lucknow-226026, India.
Abstract
In this paper, firstly we introduce not only partially degenerate
Hermite-Genocchi polynomials, but also a new generalization of degenerate
Hermite-Genocchi polynomials. Secondly, we investigate some behaviors of
these polynomials. Furthermore, we establish some implicit summation
formulae and symmetry identities by making use of the generating function of
partially degenerate Hermite-Genocchi polynomials. Finally, some results
obtained here extend well-known summations and identities which we stated in
the paper.
Share and Cite
ISRP Style
Waseem A. Khan, Serkan Araci, Mehmet Acikgoz, Hiba Haroon, A new class of partially degenerate Hermite-Genocchi polynomials, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 5072--5081
AMA Style
Khan Waseem A., Araci Serkan, Acikgoz Mehmet, Haroon Hiba, A new class of partially degenerate Hermite-Genocchi polynomials. J. Nonlinear Sci. Appl. (2017); 10(9):5072--5081
Chicago/Turabian Style
Khan, Waseem A., Araci, Serkan, Acikgoz, Mehmet, Haroon, Hiba. "A new class of partially degenerate Hermite-Genocchi polynomials." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 5072--5081
Keywords
- Hermite polynomials
- partially degenerate Genocchi polynomials
- partially degenerate Hermite-Genocchi polynomials
- summation formula
- symmetric identities
MSC
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