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math.CV2022
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…
math.CA2022
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…
math.NT2022
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…