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3. Show that if 7 is fixed with Im(7) > 0, then the Jacobi theta function (z|T) = n=- T Tin + 2inz is
3. Show that if 7 is fixed with Im(7) > 0, then the Jacobi theta function (z|T) = n=- T Tin + 2inz is of order 2 as a function of z. Further properties of will be studied in Chap- ter 10. [Hint: nt+2n|z| nt/2 when t > 0 and n 4|z|/t.]
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Calculus Early Transcendentals
Authors: James Stewart
7th edition
538497904, 978-0538497909
