Inequalities involving \(q\)-analogue of multiple psi functions

DOI10.5802/crmath.44zbMath1450.33004OpenAlexW3041848522MaRDI QIDQ784374

Sourav Das

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.44

zbMATH Keywords

convexitysuperadditivitymultiple \(q\)-polygamma functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)

Cites Work

• A subadditive property of the gamma function.
• Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions
• THE q-DEFORMED GAMMA FUNCTION AND q-DEFORMED POLYGAMMA FUNCTION
• Multiple Gamma Functions and Their Applications
• Sharp inequalities for the digamma and polygamma functions
• The additivity of polygamma functions
• Sub- and superadditive properties of Euler's gamma function
• On Barnes' multiple zeta and gamma functions
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