On k-analogues of digamma and polygamma functions
نویسندگان
چکیده
منابع مشابه
On one dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
We consider summations over digamma and polygamma functions, often with summands of the form (±1)nψ(n + p/q)/nr and (±1)nψ(m)(n + p/q)/nr, where m, p, q, and r are positive integers. We develop novel general integral representations and present explicit examples. Special cases of the sums reduce to known linear Euler sums. The sums of interest find application in quantum field theory, including...
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ژورنال
عنوان ژورنال: Journal of Classical Analysis
سال: 2018
ISSN: 1848-5987
DOI: 10.7153/jca-2018-13-08