Inequalities for gamma and q-gamma functions of complex arguments
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DOI: 10.1142/s0219530516500093
Abstract: We prove that the function Γ(x + a)Γ(x + b)/|Γ(x + c + iy)|2,a + b = 2c, and its q-analogue are of the form e−h(x,y) and h is completely monotonic in x. In particular… read more here.
Keywords: gamma functions; functions complex; complex arguments; inequalities gamma ... See more keywords
Complete monotonicity involving some ratios of gamma functions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1527-4
Abstract: In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic. As… read more here.
Keywords: complete monotonicity; involving ratios; gamma functions; monotonicity involving ... See more keywords