Sánchez Peregrino, R. Identité de Bernstein pour une fonction homogène à singularité isolée. (Bernstein identity for homogeneous functions with isolated singularity). (French) Zbl 0684.32007 Rend. Semin. Mat. Univ. Padova 81, 221-227 (1989). On construit un opérateur différentiel Q et un polynome b(s) dit de Bernstein, de degré \(n(k-2)+2\), tel que \(Qf^{s+1}=b(s)f^ s \forall s\in {\mathbb{N}}\), dans le cas où f est une fonction homogène et de degré k de n variables, avec singularité isolée à l’origine. Reviewer: M.Hervé MSC: 32S05 Local complex singularities Keywords:homogeneous function; Bernstein identity; isolated singularity PDFBibTeX XMLCite \textit{R. Sánchez Peregrino}, Rend. Semin. Mat. Univ. Padova 81, 221--227 (1989; Zbl 0684.32007) Full Text: Numdam EuDML References: [1] V. Arnold - A. VARCHENKO - S. GOUSSEIN-ZADÉ, Singularité des applications différentiables , Mir , Moscou ( 1986 ). [2] I.N. Bernstein , Feasibility of the analytic continuation f\lambda + for certain polynomial f , Funct. Anal. Appl. , 2 ( 1968 ), pp. 85 - 87 . Zbl 0181.14904 · Zbl 0181.14904 [3] R. , Sanchez-Peregrino Thèse 3ème cycle , Université Paris VII ( 1984 ). [4] T. Yano , On the theory of b-functions , Publ. Res. Inst. Math. Sci. , 14 ( 1978 ), pp. 111 - 202 . MR 499664 | Zbl 0389.32005 · Zbl 0389.32005 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.