International Journal of Engineering, Science and Mathematics

  • Year: 2017
  • Volume: 6
  • Issue: 3

Double Series

  • Author:
  • Umang Bareja
  • Total Page Count: 3
  • Page Number: 52 to 54

M. Sc (Mathematics), UGC-JRF, Assistant Professor in Mathematics, Arya P.G College, Panipat

Online published on 19 April, 2019.

Abstract

We introduce double series and we shall give the definition of their convergence and divergence. Then we study the relationship between double and iterated series, The theory of double series is intimately related to the theory of double sequences. To each double sequence z: N×N −→ C, there corresponds three important sums; namely:

And we give a sufficient condition for equality of iterated series.

Keywords

Convergence, Corresponds, Divergence, Double, Series, Theory