A new class of partially degenerate Hermite-Genocchi polynomials


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.


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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


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