Fourier Transform of Ratio of Hyperbolic sinesby orstats Tags: fourier, hyperbolic, ratio, sines, transform 

#1
May608, 05:39 AM

P: 14

Hello:
I am referring to 'Table of Laplace Transforms' by Roberts&Kaufman. But I cannot seem to get a soln for the following Fourier Transform to retrieve my probability density f(x) c2 * Integral{e^(iwx) * sinh[sqrt(2w)c1] / sinh[sqrt(2w)pi] dw} = f(x) where pi< c1 <=0 and c2 is a constant that scales the integral appropriately so that f(x) is p.d.f. Ratios such as these appear in heat transfer applications. 


Register to reply 
Related Discussions  
Fourier transform and inverse transform  Calculus & Beyond Homework  2  
complex fraction as a ratio of sines?  Calculus  10  
hyperbolic matrix transform  Calculus & Beyond Homework  1  
Fourier Series / Fourier Transform Question  Electrical Engineering  6  
The difference between Fourier Series, Fourier Transform and Laplace Transform  General Physics  1 