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Beslikas Thanos's user avatar
Beslikas Thanos's user avatar
Beslikas Thanos's user avatar
Beslikas Thanos
  • Member for 8 years, 4 months
  • Last seen this week
6 votes
Accepted

Approximation of $\left(\frac{n - 1}{n}\right) ^ n$

6 votes
Accepted

If $\sum a^2_n$ converges so does $\sum \frac{a_n}{n}$

4 votes

Bound for the derivative of a holomorphic map in the disk

4 votes

Show that $\log(x+1)-\log(x)<\frac{1}{x}$ for $x >0$

4 votes

If the series has a limit of 0, Can I conclude that it is also the sum?

3 votes

Convergence of $\int_{-\infty}^{\infty}\frac{x^{n}}{(x+2i)(x-2i)}$ $n\in \mathbb{Z}$

3 votes

How to calculate $\lim_{z \rightarrow (3 -2i)} f(z) = \overline z - 3 re(z) + i $?

2 votes

Why the length of a curve involves derivatives

2 votes

complex analysis contour integrals using Cauchy's Residue theorem

2 votes
Accepted

What is pi factorial?

2 votes
Accepted

Different Contour Integration $\oint \frac{4z^3+6}{z(z-1-i)^2}dz$ C consists of $|z|=3$ counterclockwise and $|z|=1$ clockwise

2 votes

Contour integral of $\int_\gamma \frac{z}{\sin z}dz$

2 votes

Is the series $\sum 1/p$ in which p is prime converges?

2 votes
Accepted

Double Integral Formula for Holomorphic Function on the Unit Disc (Complex Plain)

1 vote

analytic in open disc and $|f| = 1$ on boundary

1 vote

Limit point of sin function in real analysis

1 vote

what is $\sqrt{i}+\sqrt{-i}$

1 vote

Convergence of $\sum_{n = 1}^\infty \frac{1}{z-n^2}$

1 vote

Differentiability of $\ f(z) = e^{\bar z}$

1 vote

how to show that $e^{\pi z}-1 = \pi z e^{\frac{\pi z}{2}}\prod_1^{\infty}(1+\frac{z^2}{4n^2})$?

1 vote
Accepted

Inequality for a holomorphic function

1 vote
Accepted

Integral of holomorphic function as sum

1 vote

Is it true that $e^{\frac{i}{2}\pi}+e^{-\frac{i}{2}\pi}=0$?

1 vote

limit of complex line integral over a uniformly convergent sequence of curves

1 vote

How to differentiate $y=\ln(x+\sqrt{1+x^2})$?

1 vote

Showing that the function $f(z) = \frac{\cos z}{e^z}$ is analytic

1 vote
Accepted

Compute the integral $\int_{\gamma}^{}\frac{2z}{(z+1)(z+3)}$

1 vote

Find the argument of this complex number

1 vote

Hypothesized a theorem regarding limsups with non convergent sequences

1 vote

Prove that $\sum_{n=1}^\infty (-1)^n \frac1n$ is convergent but not unconditionally convergent