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Recall that we defined for à E C and z + 0, på(z) = exp(2 log,(z), for ZE C\La to get a single-valued function for z → z*. Show that for à = , a) (på (z))? = z for z # 0. b) Par2(z) = -på (2). „(2) = %3D Overall, you have shown that each of +p is a square root.

Recall that we defined for à E C and z + 0, på(z) = exp(2 log,(z), for ZE C\La to get a single-valued function for z → z*. Show that for à = , a) (på (z))? = z for z # 0. b) Par2(z) = -på (2). „(2) = %3D Overall, you have shown that each of +p is a square root.

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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This is a complex analysis question Recall that we defined for 2 E C and z + 0, på(z) = exp(à log,(z), for zE C\La to get a single-valued function for z → z*. Show that for à = , ə) (pÅ (2)² = z for z # 0. b) Par2,(z) = -på (2). Overall, you have shown that each of ±på is a square root.
Transcribed Image Text:This is a complex analysis question Recall that we defined for 2 E C and z + 0, på(z) = exp(à log,(z), for zE C\La to get a single-valued function for z → z*. Show that for à = , ə) (pÅ (2)² = z for z # 0. b) Par2,(z) = -på (2). Overall, you have shown that each of ±på is a square root.
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