
arXiv: 1101.4698
Abstract In the paper, the authors establish an inequality involving the gamma and digamma functions and apply it to prove the negativity and monotonicity of a function involving the gamma and digamma functions.
inequality, Primary 26A48, 33B15, Secondary 26D07, polygamma function, monotonicity, Monotonic functions, generalizations, gamma function, Mathematics - Classical Analysis and ODEs, negativity, Classical Analysis and ODEs (math.CA), FOS: Mathematics, psi function, Inequalities involving other types of functions, Gamma, beta and polygamma functions, application
inequality, Primary 26A48, 33B15, Secondary 26D07, polygamma function, monotonicity, Monotonic functions, generalizations, gamma function, Mathematics - Classical Analysis and ODEs, negativity, Classical Analysis and ODEs (math.CA), FOS: Mathematics, psi function, Inequalities involving other types of functions, Gamma, beta and polygamma functions, application
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