FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION

DOI10.4134/JKMS.2008.45.2.559zbMath1151.33301OpenAlexW2048338481MaRDI QIDQ3513996

Da-Wei Niu, Jian Cao, Feng Qi, Shou-Xin Chen

Publication date: 21 July 2008

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2008.45.2.559

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Other analytical inequalities (26D20)

Related Items

Multivariate regular variation of discrete mass functions with applications to preferential attachment networks ⋮ A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality ⋮ Wendel's and Gautschi's inequalities: refinements, extensions, and a class of logarithmically completely monotonic functions ⋮ A class of logarithmically completely monotonic functions associated with a gamma function ⋮ Logarithmically complete monotonicity properties relating to the gamma function ⋮ Bounds for the ratio of two gamma functions -- from Wendel's and related inequalities to logarithmically completely monotonic functions ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Asian options and meromorphic Lévy processes ⋮ Bounds for the ratio of two gamma functions ⋮ A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw's inequality