Value Distribution Theory and Related Topics (Advances in by Grigor A. Barsegian,Ilpo Laine,Chung-Chun Yang

By Grigor A. Barsegian,Ilpo Laine,Chung-Chun Yang

The Nevanlinna concept of price distribution of meromorphic capabilities, one of many milestones of advanced research over the past century, was once c- ated to increase the classical effects in regards to the distribution of of whole capabilities to the extra normal environment of meromorphic capabilities. in a while, the same reasoning has been utilized to algebroid services, subharmonic capabilities and meromorphic services on Riemann surfaces in addition to to - alytic capabilities of a number of advanced variables, holomorphic and meromorphic mappings and to the idea of minimum surfaces. in addition, numerous appli- tions of the speculation were exploited, together with advanced differential and sensible equations, complicated dynamics and Diophantine equations. the most emphasis of this assortment is to direct recognition to a few lately built novel rules and generalizations that relate to the - velopment of price distribution conception and its functions. specifically, we suggest a up to date concept that replaces the traditional attention of counting inside a disc by way of an research in their geometric destinations. one other such instance is gifted by way of the generalizations of the second one major theorem to better dimensional situations through the use of the jet idea. in addition, s- ilar rules it appears should be utilized to a number of similar parts to boot, resembling to partial differential equations and to differential geometry. certainly, every one of these purposes return to the matter of studying zeros of definite complicated or genuine features, that means in truth to enquire point units or point surfaces.

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