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I am looking for a book, paper, web site, etc. (or several ones) containing the most complete list of identities and special values for the polylogarithm $\operatorname{Li}_s(z)$ and polygamma $\psi^{(a)}(z)$ functions, including generalizations to negative, non-integer and complex orders and arguments.

As far as I know, there is an ongoing research in this area, and many new and curious identities occur from time to time. Here is the list of resources I found so far:

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2 Answers 2

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DLMF cites Lewin (1981), Kölbig (1986), Maximon (2003), Prudnikov et al. which can be found in the bibliography of Dlmf.

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My preferred books on the topics

Lewin L. Polylogarithms and associated functions (NH, 1981)

Lewin L. (ed.) Structural properties of polylogarithms (AMS, 1991)

H. M. Srivastava, Choi Junesang, Zeta and q-Zeta Functions and Associated Series and Integrals. (Elsevier,2011)

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