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a) Let {zn} be a sequence of complex numbers, with Re(zn) > 0 for all n E N. Writing Zn = xn +iyn, given
a) Let {zn} be a sequence of complex numbers, with Re(zn) > 0 for all n E N. Writing Zn = xn +iyn, given that the series Eo n is convergent, prove that each of the following series is absolutely convergent: i) Eo . ii) En-0 "nYn- n%3D0 b) If in addition to a) above, the series Eo , is also convergent, prove that each of the following hold:
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Mathematical Statistics With Applications In R
Authors: Chris P. Tsokos, K.M. Ramachandran
2nd Edition
124171133, 978-0124171138
