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Are there any existing bounds on the hypergeometric function $_3F_2(-m,-n,1/2;1,1;4)$ where $m,n \geq 1$? 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.

299792458
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Derek
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  • Derek, for your terminating series the standard techniques oulined in http://mathoverflow.net/questions/33374/partial-sums-of-the-chu-vandermonde-identity/33382#33382 can be applied. – Wadim Zudilin Sep 12 '11 at 06:13

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