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Regular Sequence

Let there be two particularly well-behaved functions F(x) and p_tau(x). If the limit

lim_(tau->0)int_(-infty)^inftyp_tau(x)F(x)dx

exists, then p_tau(x) is a regular sequence of particularly well-behaved functions.

See also

Ring Regular Sequence

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References

Allouche, J.-P. and Shallit, J. "The Ring of k-Regular Sequences." Theoret. Comput. Sci. 98, 16-197, 1992.

Referenced on Wolfram|Alpha

Regular Sequence

Cite this as:

Weisstein, Eric W. "Regular Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RegularSequence.html

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