Theorem 4.1. Let and . Then (4-6) , iff (4-7) .
Proof.
Proof of Theorem 4.1 is in the book.
Complex Analysis for Mathematics and Engineering
![[Graphics:Images/ComplexSequenceSeriesMod_gr_59.gif]](../Images/ComplexSequenceSeriesMod_gr_59.gif){kind=small}
and ![[Graphics:Images/ComplexSequenceSeriesMod_gr_60.gif]](../Images/ComplexSequenceSeriesMod_gr_60.gif){kind=small}
. Then![[Graphics:Images/ComplexSequenceSeriesMod_gr_61.gif]](../Images/ComplexSequenceSeriesMod_gr_61.gif){kind=small}
, iff ![[Graphics:Images/ComplexSequenceSeriesMod_gr_62.gif]](../Images/ComplexSequenceSeriesMod_gr_62.gif){kind=small}
. and . Then, iff .