Notes on the complete elliptic integral of the first kind
Zhen-Hang Yang, Wei-Mao Qian, en Zhang, Yu‐Ming Chu
Abstract
In the article, we present several monotonicity properties and bounds for the complete elliptic integral of the first kind. As applications, we find sharp bounds for the arithmeticgeometric mean.
Topics & Concepts
MathematicsElliptic integralPure mathematicsCalculus (dental)Mathematical analysisAlgebra over a fieldDentistryMedicineAdvanced Mathematical Modeling in EngineeringAlgebraic and Geometric AnalysisDifferential Equations and Boundary Problems