55 citations · 212 across the 44 of their papers we have counts for
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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…
Convolutions for Stirling numbers, Lah numbers, and binomial coefficients
Khristo N. Boyadzhiev
We present various identities in the form of convolutions involving Stirling numbers of both kinds, Lah numbers, and binomial coefficients. Certain convolution polynomials are disc…
New series with Cauchy and Stirling numbers, Part 2
Khristo N. Boyadzhiev, Levent Kargın
We evaluate in closed form several series involving products of Cauchy numbers with other special numbers (harmonic, skew-harmonic, hyperharmonic, and central binomial). Similar re…
Power series with inverse binomial coefficients and harmonic numbers
Khristo N. Boyadzhiev
We construct the generating function for products of inverse central binomial coefficients with harmonic numbers.
The formula of Melzak for arbitrary polynomials
Khristo N. Boyadzhiev
We extend the well-known Melzak binomial transform formula to polynomials of any degree and show some applications.
The Euler Series Transformation and the Binomial Identities of Ljunggren, Munarini and Simons
Khristo N. Boyadzhiev
It is shown that the curious identity of Simons follows immediately from Euler's series transformation formula and also from an identity due to Ljunggren. The relation of Simons' i…