Practice Mathematical Methods: Basics - CSIR-UGC NET Offered by Unacademy

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Mathematical Methods: Basics

Quick practice

Question 1 of 5

The Laurent series expansion of the function $f(z)=e^{z}+e^{1 / z}$ about z=0 is given by

A

$\sum_{n=-0}^{\infty}$ $\left(z^{n}+\frac{1}{z^{n}}\right) \frac{1}{n !}$ for all $0<|z|<\infty$

B

$\sum_{n=-0}^{\infty}$ $\left(z^{n}+\frac{1}{z^{n}}\right) \frac{1}{n !}$ only if

C

$\sum_{n=-\infty}^{\infty}$ $\frac{z^{n}}{n !}$ for all $|z|<\infty$

D

$\sum_{n=-\infty}^{\infty}$ $\frac{z^{n}}{n !}$ only if

Concepts

Laurent & Fourier Series

First Order DEs

Calculus of Variation

Functions of Complex Variable

Calculus of Residues

Algebra of Matrices

Eigenvalues & Eigenvector

Laplace Transforms