a quasi-analytic class of functions is a generalization of the class of real analytic functions based upon the following fact: If f is an analytic function...

an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions...

power series. Quasi-analytic function: not analytic, but still locally determined by its derivatives at a point. Differentiable function: Has a derivative...

Hadamard's lemma Non-analytic smooth function – Mathematical functions which are smooth but not analytic Quasi-analytic function Singularity (mathematics) –...

Analytic function Quasi-analytic function Non-analytic smooth function Flat function Bump function Differentiable function Integrable function Square-integrable...

In mathematics and statistics, the quasi-arithmetic mean or generalised f-mean or Kolmogorov-Nagumo-de Finetti mean is one generalisation of the more...

Quasi-Newton methods are methods used to find either zeroes or local maxima and minima of functions, as an alternative to Newton's method. They can be...

regular functions vanishing on Z {\displaystyle Z} is coherent. Likewise, if Z {\displaystyle Z} is a closed analytic subspace of a complex analytic space...

p-adic analytic manifolds, rigid analytic spaces admit meaningful notions of analytic continuation and connectedness. The basic rigid analytic object...

complex analysis, Jensen's formula relates the average magnitude of an analytic function on a circle with the number of its zeros inside the circle. The formula...