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Results tagged with cv.complex-variables
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user 62652
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
0
votes
2
answers
227
views
convergence radius of Pochhammer symbol series [closed]
What is the convergence radius of the series
$$\sum_{n=0}^{\infty}\frac{(-1)^n z^{(n)}}{n!},$$
where $z^{(n)}$ is Pochhammer symbol?
- 67
4
votes
1
answer
316
views
what is the solutions of function equation
For complex number $z$,
equation $2^z + 3^z = 2^{1-z}+3^{1-z}$ has a simple solution $z=\frac{1}{2}$.
Are there any other solutions?
do all solutions lie on the critical line?
- 67
1
vote
1
answer
156
views
what a Complex powers of operators to be the identity?
Suppose $\Delta$, the forward differece operator on some functional space, $z$ complex number, does the equation $(I+\Delta)^z(f(z))= f(z)$ imply that $Re(z)=0$
by using pochhammer symbols, operat …
- 67