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http://arxiv.org/pdf/0911.2162...
Article
Data sources: UnpayWall
https://doi.org/10.1063/1.3367...
Article . 2010 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1063/1.3...
Other literature type
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Integral transformation and Darboux transformation of Heun’s differential equation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2010Publisher:AIPJournal:AIP Conference Proceedings (issn: 0094-243X, Copyright policy )
Authors: Kouichi Takemura; Wen Xiu Ma; Xing-biao Hu; Qingping Liu;

doi: 10.1063/1.3367079

Integral transformation and Darboux transformation of Heun’s differential equation

Abstract

We review Darboux‐Crum transformation of Heun’s differential equation. By rewriting an integral transformation of Heun’s differential equation into a form of elliptic functions, we see that the integral representation is a generalization of Darboux‐Crum transformation. We also consider conservation of monodromy with respect to the transformations.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average