Polynomials which form a Sheffer sequence with
(1)
| |||
(2)
|
and have generating function
(3)
|
The first few are
(4)
| |||
(5)
| |||
(6)
|
Jordan (1965) considers the related polynomials which form a Sheffer sequence with
(7)
| |||
(8)
|
These polynomials have generating function
(9)
|
The first few are
(10)
| |||
(11)
| |||
(12)
| |||
(13)
|
The Peters polynomials are a generalization of the Boole polynomials.