1 Laurent series representation of f(2) = z(z-1) valid for |z| > 1 is 1 f(z) = z2 1 + z3 1 1 + 25 .. The point z= 0 is an isolated singularity of f, and the Laurent series contains an infinite number of terms involving negative integer powers of z. Discuss:Does this mean that z= 0 is an essential singularity of f? Defend your answer with sound mathematics.

1 Laurent series representation of f(2) = z(z-1) valid for |z| > 1 is 1 f(z) = z2 1 + z3 1 1 + 25 .. The point z= 0 is an isolated singularity of f, and the Laurent series contains an infinite number of terms involving negative integer powers of z. Discuss:Does this mean that z= 0 is an essential singularity of f? Defend your answer with sound 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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