New identities with Stirling, hyperharmonic, and derangement numbers, Bernoulli and Euler polynomials, powers, and factorials

Abstract

A number of identities are proved by using Stirling transforms. These identities involve Stirling numbers of the first and second kinds, hyperharmonic and derangement numbers, Bernoulli and Euler numbers and polynomials, powers, power sums, and factorials.

20 pages

References in corpus (1)

• Geometric Polynomials: Properties and Applications to Series with Zeta Values

Cited by in corpus (2)

• Convolutions for Stirling numbers, Lah numbers, and binomial coefficients
• Daehee, hyperharmonic, and power sums polynomials