Symmetric identity for polynomial sequences satisfying A′
n
+1(x) = (n + 1)An
(x)
Keyword(s):
Abstract Using umbral calculus, we establish a symmetric identity for any sequence of polynomials satisfying A′ n +1(x) = (n + 1)An (x) with A 0(x) a constant polynomial. This identity allows us to obtain in a simple way some known relations involving Apostol-Bernoulli polynomials, Apostol-Euler polynomials and generalized Bernoulli polynomials attached to a primitive Dirichlet character.
Keyword(s):
2020 ◽
Vol 2020
(1)
◽
2016 ◽
Vol 103
(2)
◽
pp. 231-249
Keyword(s):