How to multiply arrays to create a larger one

Let's say I have the following two arrays

A=rand(3,4,3)
B=rand(3,5)

I want to generate the specific "tensor product", for example:

C(:,:,:)=A(1,:,:)*B(2.:)

Such that C is an 4x3x5 array which it's (i,j,k) entry is A(1,i,j)*B(2,k).

However, it seems that the regular multiplication operator does not fit my needs.

How do I do that in Matlab?

[per isakson]

Did you try MTT - Matlab Tensor Tools by Andrews Sobral ?