Localisation de zéros de familles de trinômes

Mohand-Ouamar Hernane; Jean-Louis Nicolas

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 3, page 471-490
  • ISSN: 0240-2963

How to cite

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Hernane, Mohand-Ouamar, and Nicolas, Jean-Louis. "Localisation de zéros de familles de trinômes." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.3 (1999): 471-490. <http://eudml.org/doc/73496>.

@article{Hernane1999,
author = {Hernane, Mohand-Ouamar, Nicolas, Jean-Louis},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {trinomial; implicit function theorem; hypergeometric series},
language = {fre},
number = {3},
pages = {471-490},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Localisation de zéros de familles de trinômes},
url = {http://eudml.org/doc/73496},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Hernane, Mohand-Ouamar
AU - Nicolas, Jean-Louis
TI - Localisation de zéros de familles de trinômes
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 3
SP - 471
EP - 490
LA - fre
KW - trinomial; implicit function theorem; hypergeometric series
UR - http://eudml.org/doc/73496
ER -

References

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  2. [2] Bieberbach ( L.). — Lehrbuch der Funktionentheorie, vol. 1, Elemente der Funktionentheorie, B.G. Teubner, Leipzig und Berlin, 1930. Zbl56.0258.01JFM56.0258.01
  3. [3] Demailly ( J.-P.). — Analyse numérique et équations différentielles, Presses Universitaires de Grenoble, 1991. Zbl0869.65041
  4. [4] Dilcher ( K.). — Zeros of certain cyclotomy-generated polynomials, Fibonacci Quart., 29, 1991, 150-156. Zbl0726.11015MR1119402
  5. [5] Dilcher ( K.), Nulton ( J.D.) and Stolarski ( K.B.). — The zeros of a certain family of trinomials, Glasgow Math. J., 34, 1992, 55-74. Zbl0751.30007MR1145632
  6. [6] Erdös ( P.) and Turán ( P.). — On the distribution of the roots of polynomials, Annals of Math.51, 1950, 105-119. Zbl0036.01501MR33372
  7. [7] Feller ( W.). — An Introduction to Probability Theory and its Applications, vol. II, 2nd edition, J. Wiley and Sons, 1971. Zbl0219.60003
  8. [8] Henrici ( P.). — Applied and computational complex analysis, vol. 1, Power series — integration — conformal mappings — location of zeros, J. Wiley and Sons, 1974. Zbl0313.30001MR372162
  9. [9] Hernane ( M.-O.). — Localisation des zéros de polynômes intervenant en théorie du signal, Thèse de Magister, Université d'Alger, 1989. 
  10. [10] Horadam ( A.F.) and Shannon ( A.G.). — Cyclotomy-generated Polynomials of Fibonacci Type, In Fibonacci Numbers and Their Applications, 81-97, edited by A.N. Philippou et al., Dordrecht : D. Reidel, 1986. Zbl0593.12007MR857816
  11. [11] Lacoume ( J.-L.), Hanna ( C.) et Nicolas ( S.C.). — Etalonnage de l'analyse spectrale par la méthode du modèle autorégressif. Annales de Télécommunications, 36,1981, 579-584. Zbl0474.94005
  12. [12] Nicolas ( J.-L.) et Schinzel ( A.). — Localisation de zéros de polynômes intervenant en théorie du signal. In Cinquante ans de polynômes, ed. M. Langevin et M. Waldschmidt, Lecture Notes in Math., n° 1415, Springer Verlag, 1990, 167-179. Zbl0703.30004MR1044112
  13. [13] Whittaker ( E.T.) and Watson ( G.N.). — A course of modern analysis, 4th ed., Cambridge at the University Press, 1935. MR1424469JFM45.0433.02
  14. [14] Zeng ( J.). — Multinomial convolution polynomials, Discrete Math., 160, 1996, 219-228. Zbl0860.05005MR1417572

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