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math.CA2022
Analogies of Jacobi's formula
Keiji Matsumoto
By considering Schwarz's map for the hypergeometric differential equation with parameters or , we give some analogies of Jacobi's formula $\var…
math.CA2022
An analogy of Jacobi's formula and its applications
Jun Chiba, Keiji Matsumoto
We give an analogy of Jacobi's formula, which relates the hypergeometric function with parameters and theta constants. By using this analogy and twice formulas of the…