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Daya K. Nagar Sergio Alexander Gómez-Noguera Arjun K Gupta


In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of these newly defined functions. We also give some applications of these functions to statistical distribution theory.


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Article Details

beta function; extended beta function; extended matrix variate beta distri- bution; extended gamma function; gamma function; matrix argument; zonal polynomial.
How to Cite
NAGAR, Daya K.; GÓMEZ-NOGUERA, Sergio Alexander; GUPTA, Arjun K. Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications. Ingeniería y Ciencia, [S.l.], v. 12, n. 24, p. 51-82, nov. 2016. ISSN 2256-4314. Available at: <>. Date accessed: 19 feb. 2018. doi: