Geodesic
Four double series involving ζ(3)
Filomat, Tome 37 (2023) no. 10, p. 3305

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DOI

Four double series involving ζ(3) are evaluated in closed form by calculating definite integrals. Three examples are also illustrated by the hypergeometric series approach.
DOI : 10.2298/FIL2310305C
Classification : 11M06, 33C20
Keywords: Multiple Euler sum, Integration by parts, Classical hypergeometric series 
Wenchang Chu. Four double series involving ζ(3). Filomat, Tome 37 (2023) no. 10, p. 3305 . doi: 10.2298/FIL2310305C
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     author = {Wenchang Chu},
     title = {Four double series involving \ensuremath{\zeta}(3)},
     journal = {Filomat},
     pages = {3305 },
     year = {2023},
     volume = {37},
     number = {10},
     doi = {10.2298/FIL2310305C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310305C/}
}
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