Special Functions of Matrix Argument


Hypergeometric Function Scalar Case Real Matrix Gamma Density Random Volume 
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  1. Bochner, S. (1952). Bessel functions and modular relations of higher type and hyperbolic differential equations, Com. Sem. Math. de l’Univ. de Lund, Tome supplémentaire dédié à Marcel Riesz, 12–20Google Scholar
  2. Constantine, A.G. (1963). Some noncentral distribution problems in multivariate analysis,  Annals of Mathematical Statistics, 34, 1270–1285.MATHCrossRefMathSciNetGoogle Scholar
  3. Herz, C.S. (1955). Bessel functions of matrix argument,  Annals of Mathematics, 61 (3), 474–523.CrossRefMathSciNetGoogle Scholar
  4. James, A.T. (1961). Zonal polynomials of the real positive definite matrices,  Annals of Mathematics, 74 , 456–469.CrossRefMathSciNetGoogle Scholar
  5. Mathai, A.M. (1978). Some results on functions of matrix argument,  Math. Nachr. 84 , 171–177.MATHCrossRefADSMathSciNetGoogle Scholar
  6. Mathai, A.M. (1993). A Handbook of Generalized Special Functions for Statistical and Physical Sciences,  Oxford University Press, Oxford.MATHGoogle Scholar
  7. Mathai, A.M. (1997). Jacobians of Matrix Transformations and Functions of Matrix Argument,  World Scientific Publishing, New York.MATHGoogle Scholar
  8. Mathai, A.M. (1999). An Introduction to Geometrical Probability: Distributional Aspects with Applications, Gordon and Breach, New York.MATHGoogle Scholar
  9. Mathai, A.M., Provost, S.B. and Hayakawa, T. (1995). Bilinear Forms and Zonal Polynomials,  Springer-Verlag Lecture Notes in Statistics, 102, New York.MATHGoogle Scholar
  10. Mathai, A.M. (2005). A pathway to matrix-variate gamma and normal densities, Linear Algebra and Its Applications, 396, 317–328.MATHCrossRefADSMathSciNetGoogle Scholar

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