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By computing definite integrals, we shall examine binomial series of convergence rate ±1/2 and weighted by harmonic-like numbers. Several closed formulae in terms of the Riemann and Hurwitz zeta functions as well as logarithm and polylogarithm functions will be established, including a conjectured one made recently by Z.-W. Sun.
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Li et al. (Thu,) studied this question.
synapsesocial.com/papers/68e76e58b6db6435876e37d5 — DOI: https://doi.org/10.3390/axioms13030162
Chunli Li
Zhoukou Normal University
Wenchang Chu
Innovation Engineering (Italy)
Axioms
University of Salento
Zhoukou Normal University
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