Hadamard operations on rational functions

Alfred J. Van der Poorten

Groupe de travail d'analyse ultramétrique (1982-1983)

  • Volume: 10, Issue: 1, page 1-11

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Van der Poorten, Alfred J.. "Hadamard operations on rational functions." Groupe de travail d'analyse ultramétrique 10.1 (1982-1983): 1-11. <http://eudml.org/doc/91903>.

@article{VanderPoorten1982-1983,
author = {Van der Poorten, Alfred J.},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {power series; rationality; exponential polynomial; Taylor series of rational functions; Hadamard product; Hadamard quotient theorem},
language = {eng},
number = {1},
pages = {1-11},
publisher = {Secrétariat mathématique},
title = {Hadamard operations on rational functions},
url = {http://eudml.org/doc/91903},
volume = {10},
year = {1982-1983},
}

TY - JOUR
AU - Van der Poorten, Alfred J.
TI - Hadamard operations on rational functions
JO - Groupe de travail d'analyse ultramétrique
PY - 1982-1983
PB - Secrétariat mathématique
VL - 10
IS - 1
SP - 1
EP - 11
LA - eng
KW - power series; rationality; exponential polynomial; Taylor series of rational functions; Hadamard product; Hadamard quotient theorem
UR - http://eudml.org/doc/91903
ER -

References

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  2. [2] Cantor ( D.G.). - On arithmetic properties of the Taylor series of rational functions, Canadian J. of Math., t. 21, 1969, p. 378-382. Zbl0179.06402MR239063
  3. [3] Cantor ( D.G.). - On arithmetic properties of the Taylor series of rational functions, II, Pacific J. of Math., t. 41, 1972, p. 329-334. Zbl0249.12013MR306159
  4. [4] Cassels ( J.W.S.). - An embedding theorem for fields, Bull. Austral. math. Soc., t. 14, 1976, p. 193-198 ; Addendum : ibid t. 14, 1976, p. 479-480. Zbl0345.12104MR422221
  5. [5] Goldstein ( L.J.). - Analytic number theory. - Englewood Cliffs, Prentice Hall, 1971. Zbl0226.12001MR498335
  6. [6] Loxton ( J.H.) and Van Der Poorten ( A.J.). - On the growth of recurrence sequences, Proc. Cambridge phil. Soc., t. 81, 1977, p. 369-376. Zbl0348.10007MR450184
  7. [7] Parent ( D.P.). - Exercices de théorie des nombres. - Paris, Gauthier-Villars, 1978 (Collection μB). Zbl0387.10001
  8. [8] Pourchet ( Y.). - Solution du problème arithmétique du quotient de Hadamard de deux fractions rationnelles, C. R. Acad. Sc. Paris, t. 288, 1979, série A, p. 1055-1057. Zbl0421.13005MR541979
  9. [9] Ritt ( J.F.). - A factorisation theory for functions Σni=1 ai eα1X, Trans. Amer. math. Soc., t. 29, 1927, p. 584-596. JFM53.0122.06
  10. [10] Robba ( Philippe). - Nombre de zéros des fonctions exponentielles - Polynômes, d'après A. J. Van Der Poorten, Groupe d'étude d'Analyse ultramétrique, 4e année, 1976/77, n° 9, 3 p. Zbl0381.12010
  11. [11] Salem ( R.). - Algebraic numbers and Fourier analysis. - Boston (D. C.) Heath and company, 1963 (Heath mathematical Monographs). Zbl0126.07802MR157941
  12. [12] Van Der Poorten ( A.J.) and Tijdeman ( R.). - On common zeros of exponential polynomials, Enseignement mathématiques, Genève, t. 21, 1975, p. 57-67. Zbl0308.30006MR379387
  13. [13] Van der Poorten ( A.J.). - Some topics of recurrent interest, Colloquium in number theory [Budapest, 1981], Macquarie University Mathematical Report 81-0037 (à paraître dans les Colloquia mathematica Societatis Janos Bolyai). Zbl0543.10007
  14. [14] Van Der Poorten ( A.J.) and Schlickewei ( H.P.). - The growth conditions for recurrence sequences (à paraître). 

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