Abstract
In the article, we present several monotonicity and convexity properties involving the complete $p$-elliptic integral $\mathcal{K}_{p}(r)$ of the first kind, and provide several asymptotically sharp bounds for $\mathcal{K}_{p}(r)$.
Funding Statement
This research was supported by the Natural Science Foundation of China (Grant Nos. 11701176, 61673169, 11301127, 11626101, 11601485).
Citation
Ti-Ren HUANG. Lu CHEN. Yu-Ming CHU. "Asymptotically sharp bounds for the complete $p$-elliptic integral of the first kind." Hokkaido Math. J. 51 (2) 189 - 210, June 2022. https://doi.org/10.14492/hokmj/2019-212
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