Some new properties of generalized Bessel polynomials

Miscellaneous Properties of Generalized Fubini Polynomials

“…The goal of this section is to derive several families of multilinear and multilateral generating functions for a class of polynomials in four variables given by equation (1.1) with the help of the method considered in refs. [20], [21].…”

A New Type Multivariable Multiple Hypergeometric Functions

“…Besides from these studies, they are also utilized in theories such as perturbation theory (in numerical analysis) and quantum theory (in modern physics) [17,24]. Studies of generating functions for polynomial sequences, on the other hand, are widely investigated, which typically comprise ordinary, multilinear and multilateral generating functions [8,11,22,25,26,28].…”

New recurrence relations for several classical families of polynomials

“…In this paper, we consider the following families of polynomials: E α m (x), Bernoulli polynomials of the second kind b α m (x), Buchholz polynomials P a m (x), generalized Bessel polynomials Y a m (x) and generalized Apostol-Euler polynomials E α m (x; λ). Several (more or less involved) explicit formulas, recurrence relations and properties of the generalized Bernoulli polynomials may be found in [3,4,6,8,19,22,23,28,29,31]; of the generalized Euler polynomials in [6,8,12,29,31]; of the Bernoulli polynomials of the second kind in [9,25,30]; of the Buchholz polynomials in [1,2,7,18]; of the generalized Bessel polynomials in [10,13,16,24]; and of the generalized Apostol-Euler polynomials in [5,14,20,21,27,32]. See also references therein for further information.…”