The function is real, while its integral is complex
32776
DSolve gives complex function although the solution is a real one
23801
A reflection question about a complex function
128911
Continuous extension of a real function
93400
Prove that an analytic function with a constant imaginary part is constant itself
38885
Prove the function is continuous, exercise from Conway's "Functions of One Complex Variable I"
31319
An integrable and periodic function $f(x)$ satisfies $\int_{0}^{T}f(x)dx=\int_{a}^{a+T}f(x)dx$.
137718
Prove that the complex expression is real
109857
Contour integral of analytic function with singularity
17408
An entire function whose real part is bounded must be constant.
92595
A problem regarding the in-equality of complex numbers .
55138
An analytic function $f$ on $\{z \in\mathbb{C} : |z|>1 \}$
138809
Consequences of a fixed point of a bounded, complex analytic function
1366
Complex Analysis: Complex Integral
77980
How to check the real analyticity of a function?
103374
A Problem on Improper Integrals
88887
Using the properties of real numbers, verify commutativity on complex numbers.
48222
Composition of a harmonic function with a holomorphic function is still harmonic