KelvinBei[-2 n, z] \[Proportional] ((I I^n 2^(-1 - 2 n) (1 - (-1)^n) z^(2 n))/(2 n)!) (1 - z^4/(64 (1 + n) (1 + 2 n)) + z^8/(24576 (1 + n) (2 + n) (1 + 2 n) (3 + 2 n)) + O[z^12]) + ((I^n 2^(-3 - 2 n) (1 + (-1)^n) z^(2 + 2 n))/ (2 n + 1)!) (1 - z^4/(192 (1 + n) (3 + 2 n)) + z^8/(122880 (1 + n) (2 + n) (3 + 2 n) (5 + 2 n)) + O[z^12]) /; Element[n, Integers] && n >= 0

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2007-05-02