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On values of hypergeometric functions with different irrational parameters

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Abstract

In this paper, we study the arithmetic nature of the values of generalized hypergeometric functions with different irrational parameters. Linear independence of such values is proved by means of an effective construction of the Pade approximation; corresponding quantitative results are obtained.

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Authors and Affiliations

  1. N. E. Bauman Moscow State Technical University, Russia

    P. L. Ivankov

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  1. P. L. Ivankov
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Correspondence to P. L. Ivankov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 6, pp. 65–72, 2005.

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Ivankov, P.L. On values of hypergeometric functions with different irrational parameters. J Math Sci 146, 5674–5679 (2007). https://doi.org/10.1007/s10958-007-0383-z

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  • DOI: https://doi.org/10.1007/s10958-007-0383-z

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