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|Title||Doubly Indexed Infinite Series|
As we know the theory of double series has been widely used in mathematics and entered in many applications. So we discuss important cases in the theory of double series. The first case is that when can we interchange the order of summations in a double sum without altering the sum? We Present several results. We also present the concept of Cauchy’s product and we give the related theorems. We also discuss the case of divergent double series and produce several results on the method of summability of double series, such as transformation of double sequences and series and the concept of double absolute summability factor theorem which is a generalization of absolute summability factor for single series.
|Publisher||the islamic university|
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