Turkish Journal of Mathematics
Abstract
A unified presentation of a class of Humbert's polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinney, Horadam-Pethe, Djordjevi${\acute{c}}$, Gould, Milovanovi${\acute{c}}$ and Djordjevi${\acute{c}}$, Pathan and Khan polynomials and many not so called 'named' polynomials has inspired the present paper. We define here generalized Humbert-Hermite polynomials of two variables. Several expansions of Humbert-Hermite polynomials, Hermite-Gegenbaurer (or ultraspherical) polynomials
DOI
10.55730/1300-0098.3133
Keywords
Hermite polynomials, generalized Humbert polynomials, generalized $(p, q)$-Fibonacci polynomials, generalized $(p, q)$-Lucas polynomials
First Page
929
Last Page
945
Recommended Citation
PATHAN, MAHMOOD AHMAD and KHAN, WASSEM AHMAD
(2022)
"On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials,"
Turkish Journal of Mathematics: Vol. 46:
No.
3, Article 18.
https://doi.org/10.55730/1300-0098.3133
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss3/18
