18 research outputs found
Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I
In this paper we focus on two new families of polynomials which are connected
with exponential polynomials and geometric polynomials. We discuss their
generalizations and show that these new families of polynomials and their
generalizations are useful to obtain closed forms of some series related to
harmonic numbers.Comment: 18 page
Investigating Exponential and Geometric Polynomials with Euler-Seidel Algorithm
In this paper we use Euler-Seidel matrices method to find out some properties
of exponential and geometric polynomials and numbers. Some known results are
reproved and some new results are obtained.Comment: 12 page