Newbetuts

Analytic function $f$ in $\overline{\mathbb{D}}$ satisfying $\left\lvert\,f'(\tfrac{1}{2})\,\right \rvert\leq 8.$

Smooth Pac-Man Curve?

When is a Fourier series analytic?

Liouville's theorem problem

for two non zero complex polynomial $p(z),q(z)$ we have $p(z)\overline{q(z)}$ is analytic if and only if ?? CSIR - June $2013$

Inverse of a differentiable function equal to its derivative then f is analytic

Find the number of roots of a polynomial using Rouche's Theorem

Showing that $|f^{(n)}| \le n!n^n$ and then making this result sharper

A smooth nowhere analytic function such that all derivatives are monotone

An integral involving a smooth function

When a holomorphic function is identically 0

Limit of a power series in $\beta$ multiplied by $(1 - \beta)$

Specifying a holomorphic function by a sequence of values

Sufficient and necessary conditions to get an infinite fiber $g^{-1}(w)$

New posts in analyticity

Does $f'$ analytic imply $f$ analytic?

Zeros set of analytic functions over complex plane with several variables

Existence and uniqueness of a function generalizing a finite sum of powers of logarithms

What is the difference between the terms smooth, analytical and continuous?

What uniquely characterizes the germ of a smooth function?

Smoothness of $\frac12[W_0(x)+W_{-1}(x)]$ for real $x<0$

Analytic function $f$ in $\overline{\mathbb{D}}$ satisfying $\left\lvert\,f'(\tfrac{1}{2})\,\right \rvert\leq 8.$

Smooth Pac-Man Curve?

When is a Fourier series analytic?

Liouville's theorem problem

for two non zero complex polynomial $p(z),q(z)$ we have $p(z)\overline{q(z)}$ is analytic if and only if ?? CSIR - June $2013$

Inverse of a differentiable function equal to its derivative then f is analytic

Find the number of roots of a polynomial using Rouche's Theorem

Showing that $|f^{(n)}| \le n!n^n$ and then making this result sharper

A smooth nowhere analytic function such that all derivatives are monotone

An integral involving a smooth function

When a holomorphic function is identically 0

Limit of a power series in $\beta$ multiplied by $(1 - \beta)$

Specifying a holomorphic function by a sequence of values

Sufficient and necessary conditions to get an infinite fiber $g^{-1}(w)$