Truncated Fubini Polynomials
Round 1
Reviewer 1 Report
This paper introduce the new polynomials which are called the two variable truncated Fubini polynomials and investigate some identities and properties related to special polynomials.
Also this paper provide some formulas related to the truncated Stirling numbers of the second kind and Apostol type Stirling numbers of the second kind and derive correlations associated with the truncated Euler polynomials and truncated Bernoulli polynomials.
I recommend this paper is acceptable to mathematics.
Reviewer 2 Report
This paper introduces two variables truncated Fubini polynomials
and numbers. Authors investigated many relations and formulas for these
polynomials and numbers, including summation formulas, recurrence
relations and derivative property. The paper is concluded by some multifarious
correlations associated with the truncated Euler polynomials and
truncated Bernoulli polynomials. The results sound interesting and deserves publication in Axioms.
Reviewer 3 Report
Using the generating function introduced in the paper, the authors determine the truncated bivariate Fubini polynomials and the corresponding combinatorial numbers. Some important properties of these polynomials are investigated and the relation of these polynomials and numbers to other combinatorial polynomials is studied.