Abstract
In this article, we introduce a new class of generalized Laguerre-based Frobenius type Eulerian polynomials and then derive diverse explicit and implicit summation formulae and symmetric identities by using series manipulation techniques. Multifarious summation formulas and identities are given earlier for some well known polynomials such as Eulerian polynomials and Frobenius type Eulerian polynomials are generalized.
Funder
Prince Mohammad Bin Fahd University
Publisher
Sociedade Paranaense de Matematica
Reference30 articles.
1. Andrews, L. C, Special functions for engineers and mathematicians, Macmillan. Co., New York, 1985.
2. Bell, E. T, Exponential polynomials, Ann. of Math., 35(1934), 258-277.y
3. Carlitz, L, Eulerian numbers and polynomials, Math. Mag., 32(1959), 247-260.
4. Carlitz, L, Eulerian numbers and polynomials of higher order, Duke Math. J., 27(1960), 401-423.
5. Choi, J, Kim, D. S, Kim, T and Kim, Y. H, A note on some identities of Frobenius-Euler numbers and polynomials, Inter. J. Math. Math. Sci., 2012(2012), 1-9.