On the monotonicity of the quotient of certain abelian integrals

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.

Bibliographic Details
Main Author:	Min Ho Lee
Format:	Article
Language:	English
Published:	Hindawi Limited 1993-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	abelian integrals elliptic surfaces Picard-Fuchs equation Riccati equation monotonicity.
Online Access:	http://dx.doi.org/10.1155/S0161171293000043

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spelling	doaj-ca676cf001dd4b5aa03728796c5f88da2020-11-24T23:32:57ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-01161414810.1155/S0161171293000043On the monotonicity of the quotient of certain abelian integralsMin Ho Lee0Department of Mathematics, University of Northern Iowa, Cedar Falls 50614, Iowa, USAWe 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.http://dx.doi.org/10.1155/S0161171293000043abelian integralselliptic surfacesPicard-Fuchs equation Riccati equationmonotonicity.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Min Ho Lee
spellingShingle	Min Ho Lee On the monotonicity of the quotient of certain abelian integrals International Journal of Mathematics and Mathematical Sciences abelian integrals elliptic surfaces Picard-Fuchs equation Riccati equation monotonicity.
author_facet	Min Ho Lee
author_sort	Min Ho Lee
title	On the monotonicity of the quotient of certain abelian integrals
title_short	On the monotonicity of the quotient of certain abelian integrals
title_full	On the monotonicity of the quotient of certain abelian integrals
title_fullStr	On the monotonicity of the quotient of certain abelian integrals
title_full_unstemmed	On the monotonicity of the quotient of certain abelian integrals
title_sort	on the monotonicity of the quotient of certain abelian integrals
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1993-01-01
description	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.
topic	abelian integrals elliptic surfaces Picard-Fuchs equation Riccati equation monotonicity.
url	http://dx.doi.org/10.1155/S0161171293000043
work_keys_str_mv	AT minholee onthemonotonicityofthequotientofcertainabelianintegrals
_version_	1725532596370145280

On the monotonicity of the quotient of certain abelian integrals

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