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Multiple series

From Encyclopedia of Mathematics
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-tuple series

An expression of the form

consisting of the terms from a table . Each term of the table is indexed by indices , which run independently of each other over the set of natural numbers. The theory of multiple series is analogous to the theory of double series. See also Absolutely convergent series.

References

[1] G.M. Fichtenholz, "Differential und Integralrechnung" , 2 , Deutsch. Verlag Wissenschaft. (1964)
How to Cite This Entry:
Multiple series. E.G. Sobolevskaya (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Multiple_series&oldid=19098
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098