A Connection Formula for the q-Confluent Hypergeometric Function

dc.contributor.authorMorita, T.
dc.date.accessioned2019-02-21T07:04:56Z
dc.date.available2019-02-21T07:04:56Z
dc.date.issued2013
dc.description.abstractWe show a connection formula for the q-confluent hypergeometric functions ₂φ₁(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for ₂φ₀(a,b;−;q,x), we obtain the connection formula for the q-confluent hypergeometric equation in the matrix form. Also we obtain the connection formula of Kummer's confluent hypergeometric functions by taking the limit q→1− of our connection formula.uk_UA
dc.description.sponsorshipThe author would like to give heartfelt thanks to Professor Yousuke Ohyama who provided carefully considered feedback and many valuable comments. The author also would like to thank the anonymous referees for their helpful commentsuk_UA
dc.identifier.citationA Connection Formula for the q-Confluent Hypergeometric Function / T. Morita // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 10 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33D15; 34M40; 39A13
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.050
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149343
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Connection Formula for the q-Confluent Hypergeometric Functionuk_UA
dc.typeArticleuk_UA

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