2009•Journal of Henan Polytechnic UniversityRequires access

Monotonicity properties and inequalities of gamma and psi functions

Chen Chan-ping

Abstract

A class of logarithmically completely monotonic function involving the gamma function is presented,and some inequalities involving the psi and polygamma functions are established.Theorems are generalized and some known results are improved.Finaly,a new proof of the increasingness for the function x2[ψ(x+1/2)-ψ(x)-1/2x]is given.

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Key concepts: Monotonic function, Gamma function, Function (biology), Mathematics, Inequality, Class (philosophy), Pure mathematics, Calculus (dental)