A CLASS OF COMPLETELY MONOTONIC FUNCTIONS INVOLVING DIVIDED DIFFERENCES OF THE PSI AND TRI-GAMMA FUNCTIONS AND SOME APPLICATIONS
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Publication:3002683
DOI10.4134/JKMS.2011.48.3.655zbMath1270.26010arXiv0903.1430MaRDI QIDQ3002683
Publication date: 23 May 2011
Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.1430
monotonicityerror functiongamma functionconvexityinequalitygeneralizationdivided differencecompletely monotonic functionpsi functionapplicationratiovolume of unit balltri-gamma functionprobability integraldouble factorial
Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)
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