Meromorphic functions of the form $f(z) = \sum_{n=1}^\infty a_n/(z - z_n)$
Langley, James K. ; Rossi, John
Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, p. 285-314 / Harvested from Project Euclid
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We prove some results on the zeros of functions of the form $f(z) = \sum_{n=1}^\infty \frac{a_n}{z - z_n}$, with complex $a_n$, using quasiconformal surgery, Fourier series methods, and Baernstein's spread theorem. Our results have applications to fixpoints of entire functions.
Publié le : 2004-03-14
Classification:  meromorphic functions,  zeros,  critical points,  logarithmic potentials,  quasiconformal surgery,  30D35 
@article{1080928430,
     author = {Langley, James K. and Rossi, John},
     title = {Meromorphic functions of the form $f(z) = \sum\_{n=1}^\infty a\_n/(z - z\_n)$},
     journal = {Rev. Mat. Iberoamericana},
     volume = {20},
     number = {1},
     year = {2004},
     pages = { 285-314},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080928430}
}

Langley, James K.; Rossi, John. Meromorphic functions of the form $f(z) = \sum_{n=1}^\infty a_n/(z - z_n)$. Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, pp.  285-314. http://gdmltest.u-ga.fr/item/1080928430/