Geometry of the zeros of the sums of linear fractions

Author:
J. L. Walsh

Journal:
Trans. Amer. Math. Soc. **114** (1965), 30-39

MSC:
Primary 30.11

DOI:
https://doi.org/10.1090/S0002-9947-1965-0179331-2

MathSciNet review:
0179331

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References | Similar Articles | Additional Information

**[1]**J. L. Walsh,*On the location of the roots of the jacobian of two binary forms, and of the derivative of a rational function*, Trans. Amer. Math. Soc.**19**(1918), 291-298. MR**1501102****[2]**-,*The location of critical points*, Amer. Math. Soc. Colloq. Publ. Vol. 34, Amer. Math. Soc., Providence, R. I., 1950.**[3]**M. Marden,*On the zeros of the derivative of a rational function*, Bull. Amer. Math. Soc.**42**(1936), 400-405. MR**1563310****[4]**J. L. Walsh and O. Shisha,*The zeros of infrapolynomials with prescribed values at given points*, Proc. Amer. Math. Soc.**14**(1963), 839-844. MR**0153824 (27:3785)****[5]**-,*Extremal polynomials and the zeros of the derivative of a rational function*, Proc. Amer. Math. Soc.**15**(1964), 753-758. MR**0167604 (29:4876)**

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DOI:
https://doi.org/10.1090/S0002-9947-1965-0179331-2

Article copyright:
© Copyright 1965
American Mathematical Society