التحليل ماهي holomorphic function



Question one :

A function f defined on a region G is said to be holomorphic ( or analytic ) if it is differentiable and satisfy
the Cauchy-Riemann equation

Equivalently, we can say f is holomorphic if it can represent in taylor series at each point of analticity


Question Two:

راجعي هذا الرابط

التعريف موجود فيه

http://mathworld.wolfram.com/Manifold.html


 


Question one :

A function f defined on a region G is said to be holomorphic ( or analytic ) if it is differentiable and satisfy
the Cauchy-Riemann equation

Equivalently, we can say f is holomorphic if it can represent in taylor series at each point of analticity


Question Two:

راجعي هذا الرابط

التعريف موجود فيه

http://mathworld.wolfram.com/Manifold.html


:)شكرا لك وبارك الله فيك على التوضيح
 
ما هو تعريف holomorphic function

وماذا تعني كلمة manifold رياضيا


طالعي كتب Geometrie Differentielle
or Differential Deometry

manifold بالفرنسية Variété
 
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