Title of article :
SOME PROPERTIES OF THE PSI AND POLYGAMMA FUNCTIONS§
Author/Authors :
Guo, Bai-Ni Henan Polytechnic University - School of Mathematics and Informatics, China , Qi, Feng Tianjin Polytechnic University - College of Science - Department of Mathematics, China
Abstract :
In this paper, some monotonicity and concavity results of several functions involving the psi and polygamma functions are proved, and then some known inequalities are extended and generalized.
Keywords :
Psi function , Polygamma function , Monotonicity , Convexity , Concavity , Inequality , Necessary and sufficient condition , Generalization , Conjecture
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics