New posts in power-series

How to solve this power series problem

calculus power-series

Compositions of $n$ with largest part at most $m$

combinatorics power-series generating-functions

Between any two continuous functions $f>g$, can we find a real-analytic function?

real-analysis analysis power-series

Euler Transform elementary Proof

real-analysis numerical-methods power-series

Power series relation

sequences-and-series power-series

Find the general solution to 2y''+xy'+y = 0 in the form of a power series about the ordinary point x=0.

ordinary-differential-equations power-series

Sum of $\sum_{n \geq 1} \frac{(\ln x +1)^n}{n^n}$

calculus real-analysis sequences-and-series summation power-series

Physical intuition for the solution to $y' = y$.

sequences-and-series ordinary-differential-equations power-series exponential-function intuition

Computing the Fourier transform of $H_k(x)e^{-x^2/2}$, where $H_k$ is the Hermite polynomial.

fourier-analysis power-series hilbert-spaces fourier-transform hermite-polynomials

Generating function and integer sequence that arise from this function

combinatorics power-series generating-functions catalan-numbers

Power series for differential equation

calculus ordinary-differential-equations power-series

Formal (series/sum/derivative...)

sequences-and-series derivatives power-series

Power (Laurent) Series of $\coth(x)$

calculus power-series

Suppose that $f$ is an entire function satisfying $f(2z)=\frac{f(z)+f(z+1)}{2}$. Show that $f$ is constant. [duplicate]

complex-analysis power-series

Inverse Function for a Taylor Series?

power-series

Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$ [closed]

complex-analysis power-series

Continued fraction expansion related to exponential generating function

algorithms power-series special-functions continued-fractions bernoulli-numbers

When is a Fourier series analytic?

fourier-analysis power-series analyticity

Trans series for an integral

logarithms power-series improper-integrals

Can the the radius of convergence increase due to composition of two power series?

calculus real-analysis complex-analysis analysis power-series