# 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. BibTeX: @article{Landau_Symbols-AFP, author = {Manuel Eberl}, title = {Landau Symbols}, journal = {Archive of Formal Proofs}, month = jul, year = 2015, note = {\url{https://isa-afp.org/entries/Landau_Symbols.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Used by: Akra_Bazzi, Catalan_Numbers, Comparison_Sort_Lower_Bound, CryptHOL, Dirichlet_L, Dirichlet_Series, Error_Function, Euler_MacLaurin, Quick_Sort_Cost, Random_BSTs, Stirling_Formula