Journal of Analysis & Number Theory
Journal license

Journal

Journal of Analysis & Number Theory


Volume
& Issue

Volume 4, Issue 2


Published
on

July 1, 2016


Pages

113-120


DOI

Article

A New Class of Laguerre-Based Poly-Euler and Multi Poly-Euler Polynomials

Check for updates


Authors

N. U. Khan Affiliation:
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India.
and T. Usman* Affiliation:
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India.


Abstract

In this paper, we introduce a new class of Laguerre Poly-Euler and Laguerre multi Poly-Euler polynomials. The concept of Poly-Euler number $E^{(k)}_n(a,b)$, generalized Poly-Euler polynomials $E^{(k)}_n(x;a,b,e)$ of Jolany et al., Hermite-Bernoulli polynomials $HB_n(x,y)$ of Dattoli et al., $HB^{(\alpha)}_n(x,y)$ of Pathan and Khan and Hermite based Poly-Euler polynomials $HE^{(k)}_n(x,y;a,b,e)$ of Khan are generalized to the one $LE^{(k)}_n(x,y,z;a,b,e)$. Some implicit summation formulae and general symmetry identities arising from different analytical means and applying generating functions.


Keywords

Laguerre polynomials, Hermite polynomials, Poly-Euler polynomials, Laguerre Poly-Euler polynomials, multi Poly-Euler polynomials, Laguerre multi Poly-Euler polynomials, summation formulae, symmetric identities


Citation

Khan, N. U. & Usman, T. (2016). A new class of laguerre-based poly-euler and multi poly-euler polynomials. Journal of Analysis & Number Theory, 4(2), 113–120. https://doi.org/10.18576/jant/040205

Published by: Engineering Journals

Engineering Journals Logo