general properties
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1: 35.8 Generalized Hypergeometric Functions of Matrix Argument
2: 16.2 Definition and Analytic Properties
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§16.2(ii) Case
… ►§16.2(iii) Case
… ►§16.2(iv) Case
… ►§16.2(v) Behavior with Respect to Parameters
…3: Bibliography R
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On the definition and properties of generalized
- symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
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Total positivity properties of generalized hypergeometric functions of matrix argument.
J. Statist. Phys. 116 (1-4), pp. 907–922.
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4: 16.5 Integral Representations and Integrals
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►where the contour of integration separates the poles of , , from those of .
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5: 1.15 Summability Methods
6: 25.16 Mathematical Applications
7: 9.13 Generalized Airy Functions
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►Properties of and follow from the corresponding properties of the modified Bessel functions.
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►The distribution in and asymptotic properties of the zeros of , , , and are investigated in Swanson and Headley (1967) and Headley and Barwell (1975).
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8: 18.5 Explicit Representations
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18.5.5
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9: Bibliography G
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Generalized Functions. Vol. 1: Properties and Operations.
Academic Press, New York.
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Generalized Fermi-Dirac functions and derivatives: Properties and evaluation.
Comput. Phys. Comm. 136 (3), pp. 294–309.
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