Hankel determinants for the Fibonacci word and Padé approximation

Teturo Kamae; Jun-ichi Tamura; Zhi-Ying Wen

Acta Arithmetica (1999)

  • Volume: 89, Issue: 2, page 123-161
  • ISSN: 0065-1036

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Teturo Kamae, Jun-ichi Tamura, and Zhi-Ying Wen. "Hankel determinants for the Fibonacci word and Padé approximation." Acta Arithmetica 89.2 (1999): 123-161. <http://eudml.org/doc/207261>.

@article{TeturoKamae1999,
author = {Teturo Kamae, Jun-ichi Tamura, Zhi-Ying Wen},
journal = {Acta Arithmetica},
keywords = {Fibonacci word; Hankel determinants; Padé approximants},
language = {eng},
number = {2},
pages = {123-161},
title = {Hankel determinants for the Fibonacci word and Padé approximation},
url = {http://eudml.org/doc/207261},
volume = {89},
year = {1999},
}

TY - JOUR
AU - Teturo Kamae
AU - Jun-ichi Tamura
AU - Zhi-Ying Wen
TI - Hankel determinants for the Fibonacci word and Padé approximation
JO - Acta Arithmetica
PY - 1999
VL - 89
IS - 2
SP - 123
EP - 161
LA - eng
KW - Fibonacci word; Hankel determinants; Padé approximants
UR - http://eudml.org/doc/207261
ER -

References

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  1. [1] J.-P. Allouche, J. Peyrière, Z.-X. Wen and Z.-Y. Wen, Some properties of the Hankel determinants associated with the Morse sequence, Ann. Inst. Fourier (Grenoble) 48 (1998), 1-27. Zbl0974.11010
  2. [2] E. M. Nikishin and V. N. Sorokin, Rational Approximations and Orthogonality, Nauka, Moscow, 1988 (in Russian); English transl.: Transl. Math. Monographs 92, Amer. Math. Soc., Providence, R.I., 1991. 
  3. [3] J. Tamura, A class of transcendental numbers having explicit g-adic and Jacobi-Perron expansions of arbitrary dimension, Acta Arith. 71 (1995), 301-329. Zbl0828.11036
  4. [4] J. Tamura, Padé approximation for infinite words generated by certain substitutions, and Hankel determinants, in: Number Theory and Its Applications, K. Győry and S. Kanemitsu (eds.), Kluwer Academic Publishers, to appear. 
  5. [5] Z.-X. Wen and Z.-Y. Wen, Some properties of the singular words of the Fibonacci word, European J. Combin. 15 (1994), 587-598. Zbl0823.68087

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