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Values of the double sine function

✍ Scribed by Shin-ya Koyama; Nobushige Kurokawa

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
178 KB
Volume
123
Category
Article
ISSN
0022-314X

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✦ Synopsis

We calculate basic values of the double sine function. The algebraicity for some special values is proved. Its behavior in the fundamental domain is also studied. Especially we show that it has just two extremes: one relative maximum and one relative minimum. Asymptotic formulas for these extremal values are proved.

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