Campbell (2022) used the WZ method to obtain the sum
(1)
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where is a binomial coefficient.
There is a series of BBP-type formulas for in powers of ,
(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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,
(8)
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(9)
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(10)
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(11)
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some of which are noted by Bailey et al. (1997), and ,
(12)
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(13)
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A dilogarithm identity is given by
(14)
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where is the polylogarithm, which is equivalent to
(15)
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(Bailey et al. 1997).