Multiple series

$ s $- tuple series

An expression of the form

$$ \sum _ {m,n \dots p = 1 } ^ \infty u _ {m, n \dots p } , $$

consisting of the terms from a table $ \| u _ {m, n \dots p } \| $. Each term of the table is indexed by $ s \geq 2 $ indices $ m, n \dots p $, 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)