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1: 29.11 Lamé Wave Equation
In the case ω = 0 , (29.11.1) reduces to Lamé’s equation (29.2.1). …
2: 10.70 Zeros
In the case ν = 0 , numerical tabulations (Abramowitz and Stegun (1964, Table 9.12)) indicate that each of (10.70.2) corresponds to the m th zero of the function on the left-hand side. …
3: 33.20 Expansions for Small | ϵ |
§33.20(i) Case ϵ = 0
4: 33.5 Limiting Forms for Small ρ , Small | η | , or Large
§33.5(ii) η = 0
5: 14.16 Zeros
In the special case μ = 0 and ν = n = 0 , 1 , 2 , 3 , , Q n ( x ) has n + 1 zeros in the interval - 1 < x < 1 . …
6: 18.1 Notation
They are defined in the literature by C 0 ( 0 ) ( x ) = 1 and …
7: 28.29 Definitions and Basic Properties
The case c = 0 is equivalent to … The cases ν = 0 and ν = 1 split into four subcases as in (28.2.21) and (28.2.22). …
8: 32.9 Other Elementary Solutions
In the case γ = 0 and α δ 0 we assume, as in §32.2(ii), α = 1 and δ = - 1 . … Dubrovin and Mazzocco (2000) classifies all algebraic solutions for the special case of P VI  with β = γ = 0 , δ = 1 2 . …
9: 19.33 Triaxial Ellipsoids
A conducting elliptic disk is included as the case c = 0 . …
10: 20.11 Generalizations and Analogs
In the case z = 0 identities for theta functions become identities in the complex variable q , with | q | < 1 , that involve rational functions, power series, and continued fractions; see Adiga et al. (1985), McKean and Moll (1999, pp. 156–158), and Andrews et al. (1988, §10.7). …