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Mixed periodic Jacobi continued fractions

Published online by Cambridge University Press:  22 January 2016

Yoshifumi Kato
Yoshifumi Kato*
Affiliation:
Department of Engineering Mathematics, Faculty of Engineering, Nagoya University, Chikusa-ku, Nagoya, 464, JAPAN
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Let b0 be a positive real number and

be a Jacobi matrix. We can associate with them a Jacobi continued fraction, which will be abbreviated to a J fraction from the next section, as follows

where An(z)/Bn(z) is the n-th Padé approximant of φ(z).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 104 , December 1986 , pp. 129 - 148
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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