Combinatorial sums, series and integrals involving odd harmonic numbers
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DOI: 10.1007/s13370-025-01346-1
Abstract: We present several types of ordinary generating functions involving central binomial coefficients, harmonic numbers, and odd harmonic numbers. Our results complement those of Boyadzhiev from 2012 and Chen from 2016. Based on these generating functions… read more here.
Keywords: numbers odd; harmonic numbers; combinatorial sums; sums series ... See more keywords
Combinatorial sums and binomial identities associated with the Beta-type polynomials
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DOI: 10.15672/hjms.2017.505
Abstract: In this paper, we first provide some functional equations of the gener ating functions for beta-type polynomials. Using these equations, we derive various identities of the beta-type polynomials and the Bernstein basis functions. We then… read more here.
Keywords: type polynomials; combinatorial sums; beta type; polynomials combinatorial ... See more keywords