Hi everyone,
I am currently working on RF/FSO transmission systems. As a solution in the analytic expression, I obtained Extended Generalized Bivariate Meijer G Function (EGBMGF). To my best knowledge, the EGBMGF is not available in standard mathematical packages. How can I solve the problem numerically by using wolfram mathematica? How to calculate EGBMGF in mathematics? I deliver the analytical term of EGBMGF.
Mr Neil,
There is no built-in MeijerG function for this form of expression.
You can evaluate the EGBMG function using the double Mellin-Barness Integral.
Check this book for the "two variables Meijer G function which is a special case of the H-function:
N. T. Hai and S. B. Yakubovich, The Double Mellin-Barnes Type Integrals and their Applications to Convolution Theory, World Scientific, Series on Soviet and East European Mathematics, Vol.6},
isbn = {981-02-0690-9}, 1992,
You can also a Matlab implementation for special cases in :
H. Chergui and M. Benjillali and S. Saoudi, IEEE Commun. Lett., Performance Analysis of Project-and-Forward Relaying in Mixed {MIMO}-Pinhole and {Rayleigh} Dual-Hop Channel,2016
Mr Basem ElHalawany,
thanks a lot for your suggestions. This book is very helpful.
Best regards.
Is the code available for Bivariate Meijer G in 2020 or 2021 version ?
I proposed to the people from Wolfram that they implement FoxH multi-variable functions a year ago, but nothing came of it because this process can take many years to make it a reality.
I have code and I don’t even know where I found this code on internet. Maybe this will help,
See below:
There is a FoxH in 14.2 and later.
Yes exist FoxH with one-variable in 14.2 or later, but OP needs FoxH with two-variable(or MeijerG with two-variable) and it’s Not implemented yet in Mathematica.
