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A Connection Formula for the q-Confluent Hypergeometric Function
Репозиторій DSpace/Manakin
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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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A Connection Formula for the q-Confluent Hypergeometric Function
Інший ID:
2010 Mathematics Subject Classification: 33D15; 34M40; 39A13
DOI: http://dx.doi.org/10.3842/SIGMA.2013.050
DOI: http://dx.doi.org/10.3842/SIGMA.2013.050
Посилання:
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.
Підтримка:
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
Дата:
2013
Переглядів:
521
Завантажень:
224
Анотація:
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.
