(1) Let a, b, c, d E C such that ad – bc 0 and c+0. dz-b Find the derivative of a linear fractional function f(z) = ,at z± %3D -cz+a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(1) Let a, b, c, d E C such that ad – bc+0 and c+0.
dz-b
Find the derivative of a linear fractional function f(z) =
, at z#
-cz+a
(2) Find the radius of convergence R of the power series,
E, nn! z(n+1)! = z + z? + 4z6 + 729z24 + 281474976710656z!
120
...
Transcribed Image Text:(1) Let a, b, c, d E C such that ad – bc+0 and c+0. dz-b Find the derivative of a linear fractional function f(z) = , at z# -cz+a (2) Find the radius of convergence R of the power series, E, nn! z(n+1)! = z + z? + 4z6 + 729z24 + 281474976710656z! 120 ...
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