Version 1
: Received: 8 October 2020 / Approved: 9 October 2020 / Online: 9 October 2020 (13:04:41 CEST)
How to cite:
Yasmin, G.; Muhyi, A. Legendre-Gould Hopper Based Sheffer Polynomials: Properties and Applications. Preprints2020, 2020100204. https://doi.org/10.20944/preprints202010.0204.v1
Yasmin, G.; Muhyi, A. Legendre-Gould Hopper Based Sheffer Polynomials: Properties and Applications. Preprints 2020, 2020100204. https://doi.org/10.20944/preprints202010.0204.v1
Yasmin, G.; Muhyi, A. Legendre-Gould Hopper Based Sheffer Polynomials: Properties and Applications. Preprints2020, 2020100204. https://doi.org/10.20944/preprints202010.0204.v1
APA Style
Yasmin, G., & Muhyi, A. (2020). Legendre-Gould Hopper Based Sheffer Polynomials: Properties and Applications. Preprints. https://doi.org/10.20944/preprints202010.0204.v1
Chicago/Turabian Style
Yasmin, G. and Abdulghani Muhyi. 2020 "Legendre-Gould Hopper Based Sheffer Polynomials: Properties and Applications" Preprints. https://doi.org/10.20944/preprints202010.0204.v1
Abstract
In this article, the Legendre-Gould Hopper polynomials are combined with Sheffer sequences to introduce certain mixed type special polynomials. Generating functions, differential equations and certain other properties of Legendre-Gould Hopper based Sheffer polynomials are derived. Further, operational and integral representations providing connections between these polynomials and known special polynomials are established. Certain identities and results for some members of these new mixed polynomials are also obtained. Finally, the determinantal definitions of Legendre-Gould Hopper based Sheffer polynomials are also given.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
