Abstract
A number of multiple generalization of “familiar” and fundamental q-series transformation formulas in Chap. 16 of Ramanujan’s notebook are obtained from 3ϕ2 transformations for Milne’s multivariate basic hypergeometric series in our previous work. A generalization of 1ϕ1 transformation related to the basic Lauricella function ϕ D is also presented.
Mathematics Subject Classification: Primary: 33D67; Secondary: 05A19, 11B65, 33C67, 33D90
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Acknowledgments
I express my sincere thanks to the referee for his valuable comments and suggestions. I am grateful to the organizers of the conference for providing a warm and stimulating atmosphere.
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Kajihara, Y. (2012). Multiple Generalizations of q-Series Identities and Related Formulas. In: Alladi, K., Garvan, F. (eds) Partitions, q-Series, and Modular Forms. Developments in Mathematics, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0028-8_11
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