International Journal of Analysis

Research Article

General-Appell Polynomials within the Context of Monomiality Principle

Table 1

List of some Appell polynomials.
S. No. ; Generating functions Polynomials
(I) ; The Bernoulli polynomials [3]
(II) ; The Euler polynomials [3]
(III) ; The generalized Bernoulli polynomials [4]
(IV) ; The generalized Euler polynomials [4]
(V) ;  The generalized Bernoulli polynomials of order [5]
(VI) ;  The generalized Euler polynomials of order [5]
(VII) ; 
 The new generalized Bernoulli polynomials [6]
(VIII) ; The Apostol-Bernoulli polynomials of order [7]
(IX) ; The Apostol-Bernoulli polynomials [7, 8]
(X) ; , The Apostol-Euler polynomials of order [7, 9]
(XI) ; , The Apostol-Euler polynomials [7–9]
(XII) ; 
; 
 The generalized Gould-Hopper polynomials [10] (for , the Hermite polynomials [11] and for , classical 2-orthogonal polynomials)
(XIII) ; The Miller-Lee polynomials [11, 12] (for , the truncated exponential polynomials [11] and for , the modified Laguerre polynomials [13])
(XIV) ; 
 The Genocchi polynomials [14]