A Connection Formula for the q-Confluent Hypergeometric Function

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
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dc.contributor.author	Morita, T.
dc.date.accessioned	2019-02-21T07:04:56Z
dc.date.available	2019-02-21T07:04:56Z
dc.date.issued	2013
dc.identifier.citation	A 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33D15; 34M40; 39A13
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.050
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149343
dc.description.abstract	We 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.sponsorship	The 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 comments	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Connection Formula for the q-Confluent Hypergeometric Function	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA