Logarithmically complete monotonicity of reciprocal ARCTAN function
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Authors: V. JOVANOVIć AND M. TREML
DOI: 10.46793/KgJMat2501.105J
Abstract:
We prove the conjecture stated in F. Qi and R. Agarwal, On complete monotonicity for several classes of functions related to ratios of gamma functions, J. Inequal. Appl. (2019), that the function 1∕ arctan is logarithmically completely monotonic on (0,∞), but not a Stieltjes transform.
Keywords:
Complete monotonicity, Stieltjes transform.
References:
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