Category

Summability methods

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divergent series

infinite series that is not convergent

Euler–Maclaurin formula

Cesaro summation

modified summation method applicable to some divergent series

Cauchy principal value

value that can be assigned to certain divergent integrals over a finite interval

Borel summation

summation method for divergent series

Euler summation

summation method for some divergent series

summation by parts

theorem to simplify sums of products of sequences

Abel's summation formula

formula used in number theory to compute series

procedure to render finite infinite integrals arising in perturbation theory

Perron's formula

formula to calculate the sum of an arithmetic function in analytic number theory

zeta function regularization

summability method in physics

Ramanujan summation

technique invented by the mathematician Srinivasa Ramanujan

Abel–Plana formula

summation formula in mathematics

Poisson summation formula

an equation that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform

series acceleration

Mathematical technique

concept in mathematics

Abelian and tauberian theorems

used in the summation of divergent series

Hölder summation

method for summing divergent series