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Symmetric difference of order n

From Encyclopedia of Mathematics
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at a point of a function of a real variable

The expression

The following expression is often also referred to as a symmetric difference:

It is obtained from the above by substituting for . If has an -th order derivative at , then


Comments

References

[a1] H. Meschkowski, "Differenzengleichungen" , Vandenhoeck & Ruprecht (1959)
[a2] L.N. Milne-Thomson, "The calculus of finite differences" , Chelsea, reprint (1981)
[a3] N.E. Nörlund, "Volesungen über Differenzenrechnung" , Chelsea, reprint (1954)
How to Cite This Entry:
Symmetric difference of order n. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Symmetric_difference_of_order_n&oldid=48924
This article was adapted from an original article by T.P. Lukashenko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article