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Are there any existing bounds on the hypergeometric function 3F2(-m,-n,1/2;1,1;4) where m,n>=1? Or any thoughts how one can be obtained?

Most of the inequalities I've seen apply to the cases whose acceptable parameter ranges are applicable to the above.

Thanks.

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Derek, for your terminating series the standard techniques oulined in mathoverflow.net/questions/33374/… can be applied. –  Wadim Zudilin Sep 12 '11 at 6:13
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