19.24. Use Equation (19.10) to show that dz = mzm-1. Hint: Use the binomial theorem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

hi...

My question is about Complex Derivative.

Use the binomial theorem.

I showed the question in the upload photo.

Thank you very much !

d
19.24. Use Equation (19.10) to show that
-(zm) = mzm-1. Hint: Use the
dz
binomial theorem.
Transcribed Image Text:d 19.24. Use Equation (19.10) to show that -(zm) = mzm-1. Hint: Use the dz binomial theorem.
Theorem 19.1.11. The derivatives of all orders of an analytic function f(z)
exist in the domain of analyticity of the function and are themselves analytic
in that domain. The nth derivative of f(z) is given by
d" f
f(n) (2)
f (ξ) dξ
2ri Jc (5 – z)n+1'
n!
(19.10)
dz"
Transcribed Image Text:Theorem 19.1.11. The derivatives of all orders of an analytic function f(z) exist in the domain of analyticity of the function and are themselves analytic in that domain. The nth derivative of f(z) is given by d" f f(n) (2) f (ξ) dξ 2ri Jc (5 – z)n+1' n! (19.10) dz"
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Rules of Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,