Geometric Polynomials: Properties and Applications to Series with Zeta Values

Abstract

We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann's zeta function.

18 pages

Cited by in corpus (3)

• New identities with Stirling, hyperharmonic, and derangement numbers, Bernoulli and Euler polynomials, powers, and factorials
• Sums of powers and special polynomials
• A Second Type Of Higher Order Generalised Geometric Polynomials and Higher Order Generalised Euler Polynomials