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4.11. Rational functions with a prescribed branching

โœ Scribed by A. A. Gol'dberg

Publisher
Springer US
Year
1984
Tongue
English
Weight
52 KB
Volume
26
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES

Approximation of analytic functions by r
Approximation of analytic functions by rational functions with prescribed poles
โœ Gaetano Fichera ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 473 KB

From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha

On the Bernstein Inequality for Rational
On the Bernstein Inequality for Rational Functions with a Prescribed Zero
โœ Roy Jones; Xin Li; R.N. Mohapatra; R.S. Rodriguez ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 390 KB

We extend some results of Giroux and Rahman (Trans. Amer. Math. Soc. 193 (1974), 67 98) for Bernstein-type inequalities on the unit circle for polynomials with a prescribed zero at z=1 to those for rational functions. These results improve the Bernstein-type inequalities for rational functions. The