1951/02/01 by Hans Lewy · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Boundary (topology) #Computer science #Mathematics #Mathematical analysis
paper · doi:10.1073/pnas.37.2.103
openalex publication_date 1951/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
MA THEMA TICS: H. LEWY be treated and result about the distribution of roots obtained, analogous to facts concerning zeros of derivatives of polynomials possessing such sym- metry properties.7We shall explicitly formulate but one result of this kind:Let S be a pointset symmetric in 0 and lie in the two closed circular regions R,: iz -a rand R2: iz + al < r where we have ac 2r.Then all zeros of all (odd) extremal polynomials on S other than a simple zero at 0, lie in the closed regions R, an I R2.4. Similarly, results on zeros of derivatives valid under conditions of symmetry of higher order7 with respect to the origin can be extended to ex- tremal polynomials under corresponding symmetry assumptions.