multivariate gamma function
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1: 35.3 Multivariate Gamma and Beta Functions
§35.3 Multivariate Gamma and Beta Functions
►§35.3(i) Definitions
… ►§35.3(ii) Properties
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35.3.6
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35.3.7
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2: 35.1 Special Notation
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►The main functions treated in this chapter are the multivariate gamma and beta functions, respectively and , and the special functions of matrix argument: Bessel (of the first kind) and (of the second kind) ; confluent hypergeometric (of the first kind) or and (of the second kind) ; Gaussian hypergeometric or ; generalized hypergeometric or .
►An alternative notation for the multivariate gamma function is (Herz (1955, p. 480)).
Related notations for the Bessel functions are (Faraut and Korányi (1994, pp. 320–329)), (Terras (1988, pp. 49–64)), and (Faraut and Korányi (1994, pp. 357–358)).
complex variables. | |
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3: 35.6 Confluent Hypergeometric Functions of Matrix Argument
4: 35.8 Generalized Hypergeometric Functions of Matrix Argument
5: 35.4 Partitions and Zonal Polynomials
6: 35.7 Gaussian Hypergeometric Function of Matrix Argument
7: 19.31 Probability Distributions
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19.31.2
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8: 35.5 Bessel Functions of Matrix Argument
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35.5.1
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9: 19.23 Integral Representations
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19.23.9
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10: 19.28 Integrals of Elliptic Integrals
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19.28.4
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