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Lower bounds for linear forms in values of certain hypergeometric functions

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Abstract

By using Padé approximations of the first kind, a lower bound for the modulus of a linear form with integer coefficients in the values of certain hypergeometric functions at a rational point are obtained. This estimate depends on all the coefficients of the linear form.

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Translated fromMatematicheskie Zametki, Vol. 67, No. 3, pp. 441–451, March, 2000.

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Hessami Pilehrood, T.G. Lower bounds for linear forms in values of certain hypergeometric functions. Math Notes 67, 372–381 (2000). https://doi.org/10.1007/BF02676673

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