# Engineering Mathematics

## Friday, April 4, 2014

## Wednesday, July 24, 2013

## Monday, February 11, 2013

### Polylogarithm

Definition of Polylogarithm

Proof

(1)

(2)

summing (1) and (2)

(3)

(4)

(5)

using the definition of polylogarithm , the function equation is:

## Tuesday, January 1, 2013

## Saturday, December 1, 2012

### Generating Function

GF.ID.1: Chebyshev polynomial

Given:

Expanding of Chebyshev polynomial as following:

rewriting (1.c) as :

from (2.b) and (3)

(1.a)

(1.b)

(1.c)

Expanding of Chebyshev polynomial as following:

(2.a)

(2.b)

rewriting (1.c) as :

(3)

from (2.b) and (3)

(4.a)

(4.b)

(4.c)

(4.d)

similar to (3) , Expanding of Chebyshev polynomial as following:
(5.a)

(5.b)

From (4.d) and (5.b) ,

(6.a)

(6.b)

rearranging (6.b)

Subscribe to:
Posts (Atom)