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The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.
Maciej P. Denkowski. "The Łojasiewicz exponent of c-holomorphic mappings." Annales Polonici Mathematici 87.1 (2005): 63-81. <http://eudml.org/doc/280906>.
@article{MaciejP2005, abstract = {The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.}, author = {Maciej P. Denkowski}, journal = {Annales Polonici Mathematici}, keywords = {complex analytic sets; -holomorphic functions; Lojasiewicz exponent}, language = {eng}, number = {1}, pages = {63-81}, title = {The Łojasiewicz exponent of c-holomorphic mappings}, url = {http://eudml.org/doc/280906}, volume = {87}, year = {2005}, }
TY - JOUR AU - Maciej P. Denkowski TI - The Łojasiewicz exponent of c-holomorphic mappings JO - Annales Polonici Mathematici PY - 2005 VL - 87 IS - 1 SP - 63 EP - 81 AB - The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables. LA - eng KW - complex analytic sets; -holomorphic functions; Lojasiewicz exponent UR - http://eudml.org/doc/280906 ER -