Jacobi theta functions (notational variations)
There are a number of notational systems for the Jacobi theta functions. The notations given in the Wikipedia article define the original function which is equivalent to However, a similar notation is defined somewhat differently in Whittaker and Watson, p. 487: This notation is attributed to "Hermite, H.J.S. Smith and some other mathematicians". They also define Note that there is no factor of π in the argument as in the previous definitions.
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Jacobi theta functions (notational variations)
There are a number of notational systems for the Jacobi theta functions. The notations given in the Wikipedia article define the original function which is equivalent to However, a similar notation is defined somewhat differently in Whittaker and Watson, p. 487: This notation is attributed to "Hermite, H.J.S. Smith and some other mathematicians". They also define Note that there is no factor of π in the argument as in the previous definitions.
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There are a number of notation ...... hat definition of is intended.
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There are a number of notation ...... s in the previous definitions.
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Jacobi theta functions (notational variations)
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