Certain relationships among polygamma functions, Riemann zeta function and generalized zeta function

DOI10.1186/1029-242X-2013-75zbMath1288.11081WikidataQ59293893 ScholiaQ59293893MaRDI QIDQ395769

Junesang Choi, Chao-Ping Chen

Publication date: 30 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

gamma functionHurwitz zeta functionRiemann zeta functionBernoulli numberspolygamma functionsStirling numbers of the first kindmultiple Hurwitz zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Convergence and divergence of series and sequences (40A05) Gamma, beta and polygamma functions (33B15) Inequalities involving other types of functions (26D07)

Related Items (2)

Inequalities for the inverses of the polygamma functions ⋮ Rapidly converging series for \(\zeta(2 n + 1)\) from Fourier series

Cites Work

• An Euler-type formula for \(\xi (2k+1)\)
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• An Elementary Proof of Euler's Formula for z(2m)
• One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational

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