Distribution evaluation of hypergeometric series
We evaluate several classes of high weight hypergeometric series via Gamma, polylogarithm and elliptic integrals, mainly through distribution relations.
math.GM↗
arXiv subjects
Ming Hao Zhao
Publications and source records attributed to Ming Hao Zhao.
MZV evaluation of hypergeometric series
We evaluate several classes of high weight hypergeometric series via Multiple Zeta Values.
math.NT↗
On logarithmic integrals, harmonic sums and variations
Based on various non-MZV approaches we evaluate certain logarithmic integrals and harmonic sums. More specifically, 85 LIs, 89 ESs, 263 PLIs, 28 non-alt QESs, 39 GESs, 26 BESs,14 IBESs with weight no more than 5, 193 QLIs, 172 QPLIs, 83 QESs, 7 QBESs, 3 IQBESs with weight no more than 4. With help of MZV theory we evaluate other 10 QESs with weight no more than 4. High weight hypergeometric series, nonhomogeneous integrals and other results are also established.
math.CA↗