We prove Kaneko-Ohno's duality relation for multiple zeta star values by using an integral involving the classical polylogarithm function and logarithmic function with the help of a few results of Xu (2017). Moreover, we also discuss some related results involving Mordell-Tornheim zeta values.
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Nagoya Univ, Inst Adv Res, Furo Cho,Chikusa Ku, Nagoya 4648602, JapanNagoya Univ, Inst Adv Res, Furo Cho,Chikusa Ku, Nagoya 4648602, Japan
Hirose, Minoru
Murahara, Hideki
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Univ Kitakyushu, 4-2-1 Kitagata,Kokuraminami Ku, Kitakyushu, Fukuoka 8028577, JapanNagoya Univ, Inst Adv Res, Furo Cho,Chikusa Ku, Nagoya 4648602, Japan
Murahara, Hideki
Saito, Shingo
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Kyushu Univ, Fac Arts & Sci, 744 Motooka,Nishi Ku, Fukuoka 8190395, JapanNagoya Univ, Inst Adv Res, Furo Cho,Chikusa Ku, Nagoya 4648602, Japan