I have heard that there are ways to express sums of rational functions in terms of polygamma functions, and I would like to read more about it. However, I don't know the literature about special functions very well. Can anybody suggest possible references? Thank you.



Reference request: sums of rational functions and polygamma functions
a journal publication with many generalisations is


[Infinite sums as linear combinations of polygamma functions](https://www.semanticscholar.org/paper/Infinite-sums-as-linear-combinations-of-polygamma-Pilehrood-Pilehrood/6c3a7246b5cf2478c5714593c7ee8bd1802c8887), Kh. Hessami Pilehrood, T. Hessami Pilehrood, Acta Arithmetica **130** (2007) 231-254.


