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math.NT2024
Evaluation of some alternating series involving the binomial coefficients
Kunle Adegoke, Robert Frontczak, Taras Goy
We evaluate in closed form several alternating infinite series involving the binomial coefficients and in the denominator. One of our results generalizes…
math.CO2024★ 1 cited
Combinatorial sums, series and integrals involving odd harmonic numbers
Kunle Adegoke, Robert Frontczak, Taras Goy
We present several types of ordinary generating functions involving central binomial coefficients, harmonic numbers, and odd harmonic numbers. Our results complement those of Boyad…