Generalized Stieltjes constants and integrals involving the log-log function: Kummer's Theorem in action

DOI10.7153/jca-09-09zbMath1424.33004arXiv1702.05439OpenAlexW3098799955WikidataQ58057207 ScholiaQ58057207MaRDI QIDQ4627817

Omran Kouba

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05439

zbMATH Keywords

gamma functionFourier seriesnumerical serieslog-log integrals

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Uses Software

• Mathematica

Cites Work

• A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations
• A class of logarithmic integrals
• The integrals in Gradshteyn and Ryzhik. Part 6: the beta function
• Integrals, an Introduction to Analytic Number Theory
• Special Integrals of Gradshteyn and Ryzhik
• Special Integrals of Gradshteyn and Ryzhik
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