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dc.contributor.authorBatola, Francois ( )
dc.contributor.authorBatola, Jomo ( )
dc.date.accessioned2021-08-13T15:32:19Z
dc.date.available2021-08-13T15:32:19Z
dc.date.issued2007-06-21
dc.identifier.citationBatola, F., & Batola, J. (2007). Integral representation of a solution of Heun's general equation. Electronic Journal of Differential Equations, 2007(94), pp. 1-11.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14310
dc.description.abstractWe establish an integral representation for the Frobenius solution with an exponent zero at z = 0 of the general Heun equation. First we present an extension of Mellin's lemma which provides a powerful method that takes into account differential equations which are not of the form studied by Mellin. That is the case for equations of Heun's type. It is that aspect which makes our work different from Valent's work. The method is powerful because it allows obtaining directly the nucleus equation of the representation. The integral representation formula obtained with this method leads quickly and naturally to already known results in the case of hypergeometric functions. The generalisation of this method gives a type of differential equations which form is a novelty and deserves to be studied further.en_US
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectHeun equationen_US
dc.subjectHeun functionen_US
dc.subjectIntegral representationen_US
dc.subjectAnalytic continuationen_US
dc.subjectExtension of Mellin lemmaen_US
dc.subjectIntegral relationen_US
dc.titleIntegral representation of a solution of Heun's general equationen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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