Expected value of the product of two correlated variables

Hello Everyone,

I'm new to this forum and I'm wondering if someone could help me solving the following problem:

Let **h **be an M x 1 vector whose elements are independent zero-mean and unit-variance circularly symmetric complex Gaussian; **v** is an M x 1 deterministic complex vector, and c is a real constant. Is there any close form expression for E[**hh*****v**/(c+**v*****hh*****v**)]? Here E[.] is the expectation operator and * denotes hermitian conjugate.

Thanks.