accessory%20parameter
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11: 28.16 Asymptotic Expansions for Large
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28.16.1
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12: 36.4 Bifurcation Sets
13: 36.5 Stokes Sets
14: 27.2 Functions
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►Euclid’s Elements (Euclid (1908, Book IX, Proposition 20)) gives an elegant proof that there are infinitely many primes.
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27.2.10
►is the sum of the th powers of the divisors of , where the exponent can be real or complex.
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15: 28.1 Special Notation
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►Alternative notations for the parameters
and are shown in Table 28.1.1.
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integers. | |
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order of the Mathieu function or modified Mathieu function. (When is an integer it is often replaced by .) | |
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real or complex parameters of Mathieu’s equation with . | |
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Abramowitz and Stegun (1964, Chapter 20)
…16: 25.12 Polylogarithms
17: 8.17 Incomplete Beta Functions
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►Throughout §§8.17 and 8.18 we assume that , , and .
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8.17.4
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►With , , and ,
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8.17.13
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8.17.24
positive integers; .
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18: 8 Incomplete Gamma and Related
Functions
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19: 28 Mathieu Functions and Hill’s Equation
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