Journal of Mathematical Sciences

, Volume 182, Issue 4, pp 565–566 | Cite as

Recurrent relations for certain determinants

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Abstract

This note presents recurrent relations for certain determinants, e.g., connected with Hermite–Padé approximations of the second kind, for certain generalized hypergeometric functions.

Keywords

Russia Identity Matrix Nonnegative Integer Recurrent Relation Hypergeometric Function 
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References

  1. 1.
    A. O. Gelfond, Transcendental and Algebraic Numbers, Dover, New York (1960).MATHGoogle Scholar
  2. 2.
    Yu. V. Nesterenko, “Hermite–Padé approximations to generalized hypergeometric functions,” Sb. Math., 83, No. 1, 189–219 (1994).MathSciNetGoogle Scholar
  3. 3.
    A. B. Shidlovskii, Transcendental Numbers, Walter de Gruyter, Berlin (1989).MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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