A Curious Identity Arising From Stirling's Formula and Saddle-Point Method on Two Different Contours
Work
Year: 2023
Type: article
Abstract: We prove the curious identity in the sense of formal power series:\[\int_{-\infty}^{\infty}[y^m]\exp\left(-\frac{t^2}2+\sum_{j\ge3}\frac{(it)^j}{j!}\, y^{j-2}\right)\mathrm{d} t= \int_{-\infty}^{\inft... more
Author HsienâKuei Hwang
Institution Academia Sinica
Cites: 25
Cited by:
Related to: 10
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Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond