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A Geometric Modulus Principle for Polynomials
- Source :
- The American Mathematical Monthly. 118:931-935
- Publication Year :
- 2011
- Publisher :
- Informa UK Limited, 2011.
-
Abstract
- We characterize the ascent and descent directions for the modulus of a complex polynomial p(z) at an arbitrary point z0 in the complex plane. We prove that when p(z0) ≠ 0, the cones of ascent and d...
- Subjects :
- Mathematics::Combinatorics
Gegenbauer polynomials
General Mathematics
010102 general mathematics
Mathematical analysis
Modulus
01 natural sciences
Statistics::Machine Learning
0103 physical sciences
Maximum modulus principle
Point (geometry)
010307 mathematical physics
0101 mathematics
Complex polynomial
Complex plane
Mathematics
Descent (mathematics)
Subjects
Details
- ISSN :
- 19300972 and 00029890
- Volume :
- 118
- Database :
- OpenAIRE
- Journal :
- The American Mathematical Monthly
- Accession number :
- edsair.doi...........2c8c7b6d3ce49464683794c66f0a4e31