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.
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| Format: | Article |
| Language: | English |
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Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000043 |
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| _version_ | 1832545543337803776 |
|---|---|
| author | Min Ho Lee |
| author_facet | Min Ho Lee |
| author_sort | Min Ho Lee |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ca676cf001dd4b5aa03728796c5f88da |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ca676cf001dd4b5aa03728796c5f88da2025-02-03T07:25:39ZengWileyInternational 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. |
| 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. |
| title | 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_short | On the monotonicity of the quotient of certain abelian integrals |
| title_sort | on the monotonicity of the quotient of certain 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 |