I have found the Maclaurin/Laurent power series expansions of the twelve basic Jacobian elliptic functions and the four basic Jacobian theta functions, in which the coefficients are q-series. Some of these have already been communicated by email to a few mathematicians. I will be communicating them to a few others and submitting them, with their proofs, for publications in journals.
I have recorded these expansions, without proofs, in a 3-page document (pdf), and placed it in my Google drive. Readers of this blog can access them by copying the following link and pasting it onto Google search.
https://drive.google.com/file/d/1qMghKmQUU5tESaIcAn6u32hbLIL8Z8RY/view?usp=sharing
Somjit Datta, Ph.D
Calcutta, India
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