55 citations · 212 across the 44 of their papers we have counts for
4 papers · 1 filter
New series identities with Cauchy, Stirling, and harmonic numbers, and Laguerre polynomials
Khristo N. Boyadzhiev
In this article we use an interplay between Newton series and binomial formulas in order to generate a number of series identities involving Cauchy numbers, harmonic numbers, Lague…
Geometric Polynomials: Properties and Applications to Series with Zeta Values
Khristo N. Boyadzhiev, Ayhan Dil
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…
A special constant and series with zeta values and harmonic numbers
Khristo N. Boyadzhiev
In this paper we demonstrate the importance of a mathematical constant which is the value of several interesting numerical series involving harmonic numbers, zeta values, and logar…
Evaluation of integrals by differentiation with respect to a parameter
Khristo N. Boyadzhiev
We review a special technique for evaluating challenging integrals by providing a number of examples. Many of our examples prove integrals from the popular table of Gradshteyn and…