55 citations · 212 across the 44 of their papers we have counts for
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math.NT2017★ 5 cited
Series with Hermite Polynomials and Applications
Khristo N. Boyadzhiev, Ayhan Dil
We obtain a series transformation formula involving the classical Hermite polynomials. We then provide a number of applications using appropriate binomial transformations. Several…
math.NT2017
Power series with skew-harmonic numbers, dilogarithms, and double integrals
Khristo N. Boyadzhiev
The skew-harmonic numbers are the partial sums of the alternating harmonic series, i.e. the expansion of log(2). We evaluate in closed form various power series and numerical serie…
math.NT2017★ 1 cited
Binomial transform of products
Khristo N. Boyadzhiev
Given two infinite sequences with known binomial transforms, we compute the binomial transform of the product sequence. Various identities are obtained and numerous examples are gi…