A converse to the Grace-Walsh-Szego′ theorem

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 147, Issue 2, 2009, Pages 447-453

  Brndn, Petter ^a   Wagner, David G ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70450245515     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004109002424     Document Type: Article

References (10)

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4. Y. CHOE, J. OXLEY, A. SOKAL and D. G. WAGNER. Homogeneous multivariate polynomials with the half-plane property. Adv. Appl. Math. 32 (2004), 88-187.
5. J. H. GRACE. The zeros of a polynomial. Proc. Camb. Phil. Soc. 11 (1902), 352-357.
6. L.ḦORMANDER. On a theorem of Grace. Math. Scand. 2 (1954), 55-64.
7. Q. I. RAHMAN and G. SCHMEISSER. Analytic Theory of Polynomials. (Clarendon Press, 2002).
8. D. RUELLE. Grace-like polynomials. in "Foundations of computational mathematics (Hong Kong, 2000)" pp. 405-421. (World Sci. Publ. Co. Inc., 2002).
9. G.SZEG?O. Bemerkungen zu einem Satz von J. H. Gracëuber dieWurzeln algebraischer Gleichungen. Math. Z. 13 (1922), 28-55.
10. J. L. Walsh. On the location of the roots of certain types of polynomials. Trans. Amer. Math. Soc. 24 (1922), 163-180.