English

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

Number Theory 2021-01-18 v3

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.

Keywords

Cite

@article{arxiv.2011.03101,
  title  = {New identities with Stirling, hyperharmonic, and derangement numbers, Bernoulli and Euler polynomials, powers, and factorials},
  author = {Khristo N. Boyadzhiev},
  journal= {arXiv preprint arXiv:2011.03101},
  year   = {2021}
}

Comments

20 pages