determinant formula
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10 matching pages
1: 1.12 Continued Fractions
Determinant Formula
…2: 1.3 Determinants
Krattenthaler’s Formula
…3: Bibliography M
4: Bibliography B
5: 23.10 Addition Theorems and Other Identities
6: Bibliography V
7: 35.7 Gaussian Hypergeometric Function of Matrix Argument
8: Bibliography K
9: 35.8 Generalized Hypergeometric Functions of Matrix Argument
10: Errata
The wording was changed to make the integration variable more apparent.
In Equation (1.13.4), the determinant form of the two-argument Wronskian
was added as an equality. In ¶Wronskian (in §1.13(i)), immediately below Equation (1.13.4), a sentence was added indicating that in general the -argument Wronskian is given by , where . Immediately below Equation (1.13.4), a sentence was added giving the definition of the -argument Wronskian. It is explained just above (1.13.5) that this equation is often referred to as Abel’s identity. Immediately below Equation (1.13.5), a sentence was added explaining how it generalizes for th-order differential equations. A reference to Ince (1926, §5.2) was added.
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Special cases of normalization of Jacobi polynomials for which the general formula is undefined have been stated explicitly in Table 18.3.1.