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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

6 votes
7 answers
978 views

Are there Generalisations of a Limit (for Just-divergent Sequences)?

There are certain sequences such as 0, 1, 0, 1, 0, 1, 0, 1, ... that do not converge, but that may be assigned a generalised limit. Such a sequence is said to diverge, although in this case a phrase …
Rhubbarb's user avatar
  • 524
7 votes
2 answers
852 views

Bounds on remainder term of power series of elementary functions

This is mainly a question about the remainder term of power series for elementary functions. I'm very interested in aspects of calculating or computing elementary operations and functions, by which I …
Rhubbarb's user avatar
  • 524