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Evaluate the following expressions. (See the note above regarding power functions z“.) (i) 3i#/3 (ii) (1+ i)'+i (iii) (-ei)™i

Evaluate the following expressions. (See the note above regarding power functions z“.) (i) 3i#/3 (ii) (1+ i)'+i (iii) (-ei)™i

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Evaluate the following expressions. (See the note above regarding power functions 2".) (i) 3i#/3 (ii) (1+ i)'+i (iii) (-ei)*i
Transcribed Image Text:Evaluate the following expressions. (See the note above regarding power functions 2".) (i) 3i#/3 (ii) (1+ i)'+i (iii) (-ei)*i
NOTE: Unless we say otherwisc, we will always use the "principal branch" (or "principal valuc") of the power function 2“. This is defined using the principal logarithm Log via the formula 2° = e° Log z Then f(z) = 2° is an analytic function whose domain is the set of all nonzero z for which Arg z + T.
Transcribed Image Text:NOTE: Unless we say otherwisc, we will always use the "principal branch" (or "principal valuc") of the power function 2“. This is defined using the principal logarithm Log via the formula 2° = e° Log z Then f(z) = 2° is an analytic function whose domain is the set of all nonzero z for which Arg z + T.
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