generated polynomial

Some polynomials are defined inside an expression, e.g. inside an series with infinite coefficients:

Bernoulli polynomial

The Bernoulli polynomials (B_i) are used in some formulae that relate a series and a integral. Some slowly converging series can be written as an (easy to solve) integral.

Euler polynomial

The Euler polynomials (E_i) are used to clarify phenomena of some alternating series ¹⁾.

notes

1) Temme 1990 p.13.