Multiple series

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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.


[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:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098