# Multiple series

From Encyclopedia of Mathematics

*-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