Abstract
We develop variational formulas for certain Neumann and Green functions of multiply connected planar domains, valid for any smooth homotopy of the boundary. The modified Neumann and Green functions under consideration arise in the study of holomorphic functions with single-valued primitives. © Hebrew University Magnes Press 2009.
Original language | English |
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Pages (from-to) | 279-303 |
Number of pages | 25 |
Journal | Israel Journal of Mathematics |
Volume | 173 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2009 |