Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We give a description of the set of points for which the Fedoryuk condition fails in terms of the Łojasiewicz exponent at infinity near a fibre of a polynomial.
Wydawca
Rocznik
Tom
Strony
227--229
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Faculty of Mathematics, Łódź University, S. Banacha 22, 90-238 Łódź, Poland, rodak@imul.uni.lodz.pl
Bibliografia
- [1] J. Chądzyński and T. Krasiński, A set on which the Łojasiewicz exponent at infiniti is attained, Ann. Polon. Math. 67 (1997), 191-197.
- [2] -, -, The gradient of a polynomial at infinity, Kodai Math. J. 26 (2003), 317-339.
- [3] M. V. Fedoryuk, The asymptotics of the Fourier transform of the exponential function of a polynomial, Dokl. Akad. Nauk SSSR 227 (1976), 580-583 (in Russian); English transl.: Soviet Math. Dokl. (2) 17 (1976), 486-490.
- [4] H. V. Ha, Nombres de Łojasiewicz et singularités à l'infini des polynômes de deux variables complexes, C. R. Acad. Sci. Paris Sér. I 311 (1990), 429-432.
- [5] A. Némethi and A. Zaharia, On the bifurcation set of a polynomial, Publ. RIMS Kyoto Univ. 26 (1990), 681-689.
- [6] -, -, Milnor fibration at infinity, Indag. Math. 3 (1992), 323-335.
- [7] A. Parusiński, On the bifurcation set of complex polynomial with isolated singularities at infinity, Compositio Math. 97 (1995), 369-384.
- [8] G. Skalski, On the Łojasiewicz exponent near the fibre of a polynomial, this issue, 231-236.
- [9] S. Spodzieja, Łojasiewicz inequalities at infinity for the gradient of a polynomial, Bull. Polish Acad. Sci. Math. 50 (2002), 273-281.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0004-0024