In
complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...
, the (open) right half-plane is the set of all points in the
complex plane
In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the -axis, called the real axis, is formed by the real numbers, and the -axis, called the imaginary axis, is formed by the ...
whose
real part
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the form a ...
is strictly positive, that is, the set
.
References
*
Rudin, W., ''Real and Complex Analysis, 3 ed.'' (McGraw-Hill, 1986).
*
Ahlfors, L., ''Complex Analysis, 3 ed.'' (McGraw-Hill, 1979).
*
Kato, T., ''Perturbation theory for linear operators'', 2 ed. (Springer-Verlag, 1995)
Complex analysis
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