imaginary part
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1—10 of 188 matching pages
1: 19.3 Graphics
2: 29.16 Asymptotic Expansions
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►The approximations for Lamé polynomials hold uniformly on the rectangle , , when and assume large real values.
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3: 7.9 Continued Fractions
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7.9.3
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4: 28.25 Asymptotic Expansions for Large
5: 19.32 Conformal Map onto a Rectangle
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19.32.2
; , .
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6: 23.1 Special Notation
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►Whittaker and Watson (1927) requires only , instead of .
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lattice in . | |
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complex variable, except in §§23.20(ii), 23.21(iii). | |
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lattice generators (). | |
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lattice parameter (). | |
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7: 27.14 Unrestricted Partitions
8: 20.14 Methods of Computation
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►For values of near the transformations of §20.7(viii) can be used to replace with a value that has a larger imaginary part and hence a smaller value of .
…In theory, starting from any value of , a finite number of applications of the transformations and will result in a value of with ; see §23.18.
In practice a value with, say, , , is found quickly and is satisfactory for numerical evaluation.
9: 23.11 Integral Representations
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►provided that and .