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An application of Jacobi type polynomials to irrationality measures

Published online by Cambridge University Press:  17 April 2009

Ari Heimonen ,
Tapani Matala-Aho  and
Keijo Väänänen
Ari Heimonen
Affiliation:
Department of MathematicsUniversity of Oulu90570 OuluFinland
Tapani Matala-Aho
Affiliation:
Department of MathematicsUniversity of Oulu90570 OuluFinland
Keijo Väänänen
Affiliation:
Department of MathematicsUniversity of Oulu90570 OuluFinland
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Abstract

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The paper provides irrationality measures for certain values of binomial functions and definite integrals of some rational functions. The results are obtained using Jacobi type polynomials and divisibility considerations of their coefficients.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 2 , October 1994 , pp. 225 - 243
Copyright
Copyright © Australian Mathematical Society 1994

References

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