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Generalized sines: Weierstrassian forms. (English) Zbl 07852338

Summary: We derive explicit Weierstrassian expressions and deduce duplication formulae for the generalized sine function \(\sin_{p,q}\) when \((p,q) = (3, 6)\) and when \((p,q) = (6/5, 6)\).

MSC:

33E05 Elliptic functions and integrals
33B10 Exponential and trigonometric functions
30D30 Meromorphic functions of one complex variable (general theory)
Full Text: DOI

References:

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