Abel%20means
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11—20 of 155 matching pages
11: 8 Incomplete Gamma and Related
Functions
12: 28 Mathieu Functions and Hill’s Equation
13: Errata
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.
The factor on the right-hand side containing has been been replaced with to clarify the meaning.
The second and the fourth lines containing have both been replaced with to clarify the meaning.
14: Bibliography F
15: 8.26 Tables
Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.