New Series Identities with Cauchy, Stirling, and Harmonic Numbers, and Laguerre Polynomials
Khristo N. Boyadzhiev
Department of Mathematics
Ohio Northern University
Ada, Ohio 45810
USA
Abstract:
We use an interplay between Newton series and binomial
formulas to generate a number of series identities involving
Cauchy numbers (also known as Gregory coefficients or Bernoulli numbers
of the second kind), harmonic numbers, Laguerre polynomials, and Stirling
numbers of the first kind.
Full version: pdf,
dvi,
ps,
latex
(Concerned with sequences
A000108
A006232
A006233
A008275
A048994.)
Received November 8 2019;
revised versions received April 6 2020; October 19 2020; December 5 2020.
Published in Journal of Integer Sequences,
December 6 2020.
Return to
Journal of Integer Sequences home page
