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3.3 P/R Consider the following three functions. Determine which extend to an entire function and which cannot. Remember to justify your answers. 3.1 3.2 = where u(x, y) = x2 + y± – 1 and v(x, y) = 2xy. 2(x² + y²-1) 4% 2 Ux 200 = R // K fi(x + iy) = u(x, y) + iv(x,y) f2(z) = z² - 1. (2-2)4 ∞ f3(z) = Σn¯¹(z − 2)″. n=1 ne ग्यु दिस ১৩ - av 22 होत

3.3 P/R Consider the following three functions. Determine which extend to an entire function and which cannot. Remember to justify your answers. 3.1 3.2 = where u(x, y) = x2 + y± – 1 and v(x, y) = 2xy. 2(x² + y²-1) 4% 2 Ux 200 = R // K fi(x + iy) = u(x, y) + iv(x,y) f2(z) = z² - 1. (2-2)4 ∞ f3(z) = Σn¯¹(z − 2)″. n=1 ne ग्यु दिस ১৩ - av 22 होत

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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3.3 ак Consider the following three functions. Determine which extend to an entire function and which cannot. Remember to justify your answers. 3.1 3.2 je дих ne - where u(x, y) = x2+y² - 1 and v(x, y) = 2xy. аса +у2 -1) адах 2х 11 11 а fi(x + iy) = u(x, y) + iv(x, y) - // (2-2)^ f₂(z) = z² - 1. АЗ_1 f3(z) = Ln="(z - 2)". n=1 F du ду 21 Эх и ay av Boc 27
Transcribed Image Text:3.3 ак Consider the following three functions. Determine which extend to an entire function and which cannot. Remember to justify your answers. 3.1 3.2 je дих ne - where u(x, y) = x2+y² - 1 and v(x, y) = 2xy. аса +у2 -1) адах 2х 11 11 а fi(x + iy) = u(x, y) + iv(x, y) - // (2-2)^ f₂(z) = z² - 1. АЗ_1 f3(z) = Ln="(z - 2)". n=1 F du ду 21 Эх и ay av Boc 27
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