Completely monotonic functions and inequalities associated to some ratios of the Pochhammer \(k\)-symbol

DOI10.1016/J.JMAA.2015.06.055zbMath1323.26016OpenAlexW822175769MaRDI QIDQ495182

Ying Dong, Lijun Liu, Xiaodong Bai

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.055

zbMATH Keywords

inequalitiescomplete monotonicity\(k\)-gamma functionPochhammer \(k\)-symbol

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Monotonic functions, generalizations (26A48)

Related Items (4)

Monotonicity properties on k-digamma function and its related inequalities ⋮ Some inequalities associated to the ratio of Pochhammer k-symbol ⋮ Unnamed Item ⋮ Improved asymptotic formula and inequalities for the ratio of Pochhammer \(k\)-symbol

Cites Work

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• Completely monotonic functions and inequalities associated to some ratio of gamma function
• New improvements of the Stirling formula
• Inequalities for the gamma function
• A continued fraction approximation of the gamma function
• A generated approximation related to Burnside's formula
• SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE GAMMA FUNCTION
• Product Approximations via Asymptotic Integration
• Quantum Symmetric Functions

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