scholarly journals Conformal Representation

2015 ◽  
pp. 197-280
Keyword(s):  
Conformal Representation

Conformal Representation

1933 ◽  
Vol 17 (223) ◽  
pp. 130
Author(s):  
P. Fraser ◽  
C. Caratheodory
Keyword(s):  
Conformal Representation

scholarly journals Evaluation of constants in conformal representation

1954 ◽  
Vol 12 (1) ◽  
pp. 76-77
Author(s):  
Samuel I. Plotnick ◽  
Thomas C. Benton
Keyword(s):  
Conformal Representation

scholarly journals XIV. Some applications of conformal transformation to problems in hydrodynamics

1915 ◽  
Vol 215 (523-537) ◽  
pp. 439-487 ◽  
Keyword(s):  
Real Axis ◽  
Half Plane ◽  
Conformal Transformation ◽  
Difficult Problem ◽  
Two Dimensional ◽  
The Real ◽  
Dimensional Flow ◽  
Conformal Representation ◽  
Two Dimensional Flow ◽  
Interpretation Of Results

The problem of the conformal representation of the part of the plane of a variable z , which is bounded by a rectilineal polygon, upon the half-plane of a variable w bounded by the real axis, is solved (save for an integration) by the well-known transformation of Schwarz dz = CII ( w — a r ) - ar /π dw , where C , a 1 a 2 , &c., are real constants, and π— α 1 , π— α 2 , &c., are the internal angles of the rectilineal polygon. A more difficult problem is that of the conformal representation upon the half-plane of w of a region in the z plane whose boundary is partly curved; it is with this problem that the present paper is concerned, always however with a view to interpretation of results in terms of the two-dimensional flow of liquid in regions having particular types of boundary.

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