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Asymptotic formula

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A formula containing the symbols , or the equivalence sign (asymptotic equality of functions).

Examples of asymptotic formulas:

( is the amount of prime numbers not exceeding ).


Comments

On the meaning of the symbols and , see e.g. [a1] or [a2].

References

[a1] N.G. de Bruijn, "Asymptotic methods in analysis" , Dover, reprint (1981)
[a2] A. Erdélyi, "Asymptotic expansions" , Dover, reprint (1956)
How to Cite This Entry:
Asymptotic formula. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Asymptotic_formula&oldid=32389
This article was adapted from an original article by B.M. Bredikhin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article