1 | setting hence if |
(generalized Bernoulli polynomials of order r, see [2] ) |
2 | setting hence if |
(generalized Euler polynomials of order r, see [2] ) |
3 | setting hence if |
(unification of Apostol-type polynomials of order r, see [12] ) |
4 | setting |
(generalized Bernoulli polynomials of order r, see [11] ) |
5 | setting |
(generalized Euler polynomials of order r, see [11] ) |
6 | setting |
(generalized Bernoulli polynomials, see [6] ) |
7 | setting |
(generalized Euler polynomials, see [6] ) |
8 | setting |
(generalized Bernoulli polynomials of order r, see [10] ) |
9 | setting |
(generalized Euler polynomials of order r, see [10] ) |
10 | setting |
(generalized Genocchi polynomials of order r, see [10] ) |
11 | setting |
(generalized Apostol-Bernoulli polynomials of order r, see [7] ) |
12 | setting |
(generalized Apostol-Euler polynomials of order r, see [7] ) |
13 | setting |
(a new unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials, see [9] ) |