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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 1, Pages 41-48
doi:10.1155/S0161171293000043

On the monotonicity of the quotient of certain abelian integrals

Min Ho Lee

Department of Mathematics, University of Northern Iowa, Cedar Falls 50614, Iowa, USA

Abstract

We prove that the quotient of abelian integrals associated to an elliptic surface is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the abelian integrals and the Riccati equation satisfied by the quotient of the abelian integrals.