55 citations · 212 across the 44 of their papers we have counts for
48 papers
Representations of functions in series with parameter
Khristo N. Boyadzhiev
We prove a short general theorem which immediately implies some classical results of Hasse, Guillera and Sondow, Paolo Amore, and also Alzer and Richards. At the end we obtain a ne…
A binomial formula for evaluating integrals
Khristo N. Boyadzhiev
In this paper we present a special formula for transforming integrals to series. The resulting series involves binomial transforms with the Taylor coefficients of the integrand. Fi…
On a series of Ramanujan, dilogarithm values, and solitons
Khristo Boyadzhiev, Steven Manns
We discuss several topics related to polylogarithms with focus on dilogarithms. The topics are: a generating function with harmonic numbers coming from Ramanujan, extending the dil…
Identities for squared central binomial coefficients
Khristo N. Boyadzhiev
We prove four identities for the squared central binomial coefficients. The first three of them reflect certain transformation properties of the complete elliptic integrals of the…
The spiral vortex. A story about tornados and bathtubs
Khristo N. Boyadzhiev
In this paper, we show that equiangular spirals (also known as logarithmic spirals) appear naturally in fluids going through sinks. We provide a simple mathematical model that expl…
Exotic series with Bernoulli, harmonic, Catalan, and Stirling numbers
Khristo N. Boyadzhiev
In this paper, we present a formula for generating various exotic series in the spirit of Ovidiu Furdui and Alina Sintamarian. Our new series (evaluated in closed form) involve Ber…