7.6.3 Can you answer these questions?

7.6.3.1 Fourier transform in polar coordinates using built-in hankel transform of the function constant 1

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239754

Like in the table of transformshttps://en.wikipedia.org/wiki/Fourier_transform#Distributions,_one-dimensional the FT (Fourier transform) of $\delta$ is 1 and the FT of 1 is $\delta$, but in polar ... 
[special-functions] [fourier-analysis] [integral-transforms]
 

asked by user740332 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=76926 1 vote

7.6.3.2 Exponent combinations

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239664

How can I have Mathematica represent the product of two different bases and exponents as a single power (where possible)? 
For example, see the product below can be expressed below: 
... 
[simplifying-expressions]
                                                                                  

                                                                                  
 

asked by Steve237 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=69429 1 vote

7.6.3.3 Plot derivative of a real function consisting of a complex function

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239796

I obtained the data for the real and imaginary parts of a complex function $A(x,t)=A_r(x,t)+i A_i(x,t)$ from  NDSolve , both are functions of time $t$ and space $x$. ... 
[plotting] [calculus-and-analysis] [complex] [fourier-analysis]
 

asked by Enter https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19178 1 vote