Differential and Integral Equations for the 3-Variable Hermite-Frobenius-Euler and Frobenius-Genocchi Polynomials

Authors

Serkan Araci, Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR- 27410, TurkeyFollow
Mumtaz Riyas, Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, IndiaFollow
Shahid Ahmad Wani, Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, IndiaFollow
Subuhi Khan, Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, IndiaFollow

Author Country (or Countries)

Turkey

Abstract

The main goal of the present article is to derive some new classes of differential equations including partial and integrodifferential equations for the 3-variable Hermite-Frobenius-Euler and Frobenius-Genocchi polynomials by use of the factorization method. We also perform a further investigation for aforementioned polynomials and derive corresponding homogeneous Volterra integral equations. The differential equations for these families of polynomials contain, as their special cases, the differential equations for some known special polynomials. Moreover, the inclusion of integral equations is a new and recent investigation which adds some extra attention to these polynomials.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110510

Recommended Citation

Araci, Serkan; Riyas, Mumtaz; Ahmad Wani, Shahid; and Khan, Subuhi (2017) "Differential and Integral Equations for the 3-Variable Hermite-Frobenius-Euler and Frobenius-Genocchi Polynomials," Applied Mathematics & Information Sciences: Vol. 11: Iss. 5, Article 10.
DOI: http://dx.doi.org/10.18576/amis/110510
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss5/10