Article
A note on Bailey and WP-Bailey Pairs
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Abstract
In this paper, we have established certain theorems involving Bailey pairs and WP-Bailey pairs. Further, making use of some known WP-Bailey pairs and theorems for constructing new WP-Bailey pairs, we have also established transformation formulas for q-hypergeometric series.
Keywords
Bailey pair, WP-Bailey pair, transformation formula, summation formula, basic(q-) hypergeometric series, Primary 33D15, 33D90, 11A55, Secondary 11F20, 33F05
Citation
Singh, S. P., Mishra, L. N., & Yadav, V. (2020). A note on bailey and wp-bailey pairs. Applied Mathematics and Nonlinear Sciences, 5(2), 143–156. https://doi.org/10.2478/amns.2020.2.00021
S. P. Singh, L. N. Mishra and V. Yadav, “A note on bailey and wp-bailey pairs,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 143–156, 2020, doi: 10.2478/amns.2020.2.00021.
Singh SP, Mishra LN, Yadav V. A note on bailey and wp-bailey pairs. Applied Mathematics and Nonlinear Sciences. 2020;5(2):143–156. doi:10.2478/amns.2020.2.00021.
Singh, S. P., Mishra, L. N. and Yadav, V. (2020), ‘A note on bailey and wp-bailey pairs’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 143–156. Available at: https://doi.org/10.2478/amns.2020.2.00021.
Singh, Satya Prakash, et al. “A Note on Bailey and Wp-bailey Pairs.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 143–156. https://doi.org/10.2478/amns.2020.2.00021.
Singh, Satya Prakash, Lakshmi Narayan Mishra, and Vijay Yadav. “A Note on Bailey and Wp-bailey Pairs.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 143–156. https://doi.org/10.2478/amns.2020.2.00021.
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