Proving the equivalence of a complex polynomial and a strange series.
141401
${a_n}$ series of Fibonacci numbers. $f(x)=\sum_{0}^{\infty}a_nx^n$, show that in the convergence radius: $f(x)= \frac{1}{1-x-x^2}$
71799
A complex polynomial with partial derivatives equal to zero is constant.
111233
Analytic function and the Lagrange interpolating polynomial
24373
Hint on computing the series $\sum_{n=2}^\infty \frac{1}{n^2-1}$.
144539
Power series $ f(g(z)) = z $
118436
Identifying the series $\sum\limits_{k=-\infty}^{\infty} 2^k x^{2^k}$
136943
A problem with a proof about formal series in Lang's Algebra
147005
Prove two identities relating to series
78712
Prove that $\frac{1}{\sin^2 z } = \sum\limits_{n= -\infty} ^ {+\infty} \frac{1}{(z-\pi n)^2} $
151384
Summation of series involving binomial coefficients and polynomial of degree at most n-1
26728
Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$
14836
A polynomial sequence
76955
Proof the Legendre polynomial $P_n$ has $n$ distinct real zeros
101011
An intriguing relation between two alternating series
154544
Prove that $ \sum_{n=0}^\infty \frac{z^{2^n}}{1-z^{2^{n+1}}}=\frac{z}{1-z} $
91356
Irreducibility of an infinite sequence of polynomials
152347
Proof that a certain entire function is a polynomial