D[EllipticTheta[3, z, q], {z, n}] == 2^(n + 1) Sum[q^k^2 k^n Cos[(n Pi)/2 + 2 k z], {k, 0, Infinity}] /; Abs[q] < 1 && Element[n, Integers] && n > 0

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2001-10-29