Vector and Matrix Functions of Complex Variables

2014 ◽  
pp. 155-225
Author(s):  
César Pérez López
Keyword(s):  
Complex Variables ◽  
Matrix Functions

Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 56-63
Author(s):  
W. Kyle Anderson ◽  
James C. Newman ◽  
David L. Whitfield ◽  
Eric J. Nielsen
Keyword(s):  
Sensitivity Analysis ◽  
Stokes Equations ◽  
Unstructured Meshes ◽  
Complex Variables ◽  
Navier Stokes ◽  
Navier Stokes Equations

Extended Bessel Matrix Functions

2018 ◽  
Vol 6 (1) ◽  
pp. 1-11
Author(s):  
Ayman SHEHATA
Keyword(s):  
Matrix Functions

scholarly journals Meromorphic or Holomorphic Completion of a Reinhardt Domain

1970 ◽  
Vol 38 ◽  
pp. 1-12 ◽  
Author(s):  
Eiichi Sakai
Keyword(s):  
Meromorphic Function ◽  
Power Series ◽  
Meromorphic Functions ◽  
Integral Formula ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Reinhardt Domain ◽  
Continuity Theorem ◽  
Cauchy’S Integral Formula ◽  
Long Time

In the theory of functions of several complex variables, the problem about the continuation of meromorphic functions has not been much investigated for a long time in spite of its importance except the deeper result of the continuity theorem due to E. E. Levi [4] and H. Kneser [3], The difficulty of its investigation is based on the following reasons: we can not use the tools of not only Cauchy’s integral formula but also the power series and there are indetermination points for the meromorphic function of many variables different from one variable. Therefore we shall also follow the Levi and Kneser’s method and seek for the aspect of meromorphic completion of a Reinhardt domain in Cn.

Duality and crossing symmetry of the narrow resonance model

1970 ◽  
Vol 48 (12) ◽  
pp. 1426-1429 ◽  
Author(s):  
K. Nakazawa
Keyword(s):  
Finite Energy ◽  
Complex Variables ◽  
Narrow Resonance ◽  
Veneziano Amplitude ◽  
Resonance Model ◽  
Sum Rule ◽  
Crossing Symmetry ◽  
The One

In the narrow resonance approximation, conditions of duality and crossing symmetry are derived using the finite energy sum rule for an amplitude which is completely determined as a function of two complex variables by its meromorphic part in one of these variables. As an example, the one term Veneziano amplitude is discussed.

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