Landau Symbols


Title: Landau Symbols
Author: Manuel Eberl
Submission date: 2015-07-14
Abstract: This entry provides Landau symbols to describe and reason about the asymptotic growth of functions for sufficiently large inputs. A number of simplification procedures are provided for additional convenience: cancelling of dominated terms in sums under a Landau symbol, cancelling of common factors in products, and a decision procedure for Landau expressions containing products of powers of functions like x, ln(x), ln(ln(x)) etc.
  author  = {Manuel Eberl},
  title   = {Landau Symbols},
  journal = {Archive of Formal Proofs},
  month   = jul,
  year    = 2015,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Used by: Akra_Bazzi, Catalan_Numbers, CryptHOL, Dirichlet_L, Dirichlet_Series, Error_Function, Euler_MacLaurin, Quick_Sort_Cost, Stirling_Formula, Zeta_Function
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.