# Computing Hypergeometric Funtion of Matrix Argument [duplicate]

I'm new to Mathematica and unsure of how to compute functions or set up definitions.

I'd like to do some computations with the $$_1F_1$$ hypergeometric function of matrix argument as in the Koev and Edelman paper. That paper only includes code for MATLAB, but I don't have access to it so I was hoping to do my computations with Mathematica (I saw another post which had some code for this function).

Would somebody please walk me through the process of defining and computing values of this function.

Thanks for the help!

• Can you give an example problem please? Intuitively I'd suggest to diagonalize the matrix, calculate the hypergeometric function on the diagonal elements, and then transform back, in the same way that matrix exponentials are computed. – Roman Jul 5 '19 at 16:49
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• Have you tried MatrixFunction? For example, MatrixFunction[Hypergeometric1F1[0.1, 0.3, #] &, A] to calculate the matrix hypergeometric of a matrix A. – Roman Jul 5 '19 at 18:11
• Possible duplicate: mathematica.stackexchange.com/questions/58298/… -- seems that the accepted answer does just what you ask, no? – Michael E2 Jul 5 '19 at 18:31