On generalized Laplace equation and nonlinear operators

2012 ◽  
Vol 3 (1) ◽  
Author(s):  
Corneliu Udrea
Keyword(s):  
Laplace Equation ◽  
Nonlinear Operators ◽  
Generalized Laplace Equation

scholarly journals Analytical functions of generalized complex variables and some appllications

2014 ◽  
Vol 5 (1) ◽  
pp. 569-575
Author(s):  
Bimurat Sagindykov
Keyword(s):  
Fluid Dynamics ◽  
Elasticity Theory ◽  
Laplace Equation ◽  
Complex Variable ◽  
Complex Variables ◽  
Poisson Formula ◽  
Generalized Poisson ◽  
Analytical Functions ◽  
Generalized Complex ◽  
Generalized Laplace Equation

The object of this work is to use functions of a generalized complex variable to solve the problems of fluid dynamics and elasticity theory. In this paper, we obtain Cauchy-Riemann conditions, generalized Laplace equation and the generalized Poisson formula for such functions.

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