Research Article

Generalized Fubini Apostol-Type Polynomials and Probabilistic Applications

Table 2

Special cases of the .

No.ParametersRelation between the and its special casesSpecial polynomials

1, and in (19) Higher order bivariate Apostol-Fubini Polynomials [19]

2, , , and in (19) Higher order univariate Apostol-Fubini Polynomial [19]

3 and in (19) A generalization of the classical Fubini Polynomials [3, 20]

4 and in (19) Unified generalized polynomials of higher order [21]

5 in (19) Multivariable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomial [22]

6, and in (19) Generalized fubini-Type polynomials, [23]

7, , and in (19) Unified degenerate aApostol-type Bernoulli, Euler, Genocchi, and Fubini polynomials [24]

8 and in (19) Two-variable unified family of generalized Apostol-type polynomials of order r see [25]

9 and in (22) The degenerate generalized Fubini polynomials [26]

10 and in (22)The bell based apostol-bernoulli polynomials [27]