real and imaginary parts
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1—10 of 180 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
4: 28.25 Asymptotic Expansions for Large
5: 19.32 Conformal Map onto a Rectangle
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►with
real constants, has differential
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►As proceeds along the entire real axis with the upper half-plane on the right, describes the rectangle in the clockwise direction; hence is negative imaginary.
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19.32.2
; , .
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6: 23.1 Special Notation
7: 27.14 Unrestricted Partitions
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►The corresponding unrestricted
partition function is denoted by , and the summands are called parts; see §26.9(i).
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►The number of partitions of into at most
parts is denoted by ; again see §26.9(i).
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►where and is given by (27.14.11).
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27.14.17
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►The 24th power of in (27.14.12) with is an infinite product that generates a power series in with integer coefficients called Ramanujan’s tau function
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8: 23.11 Integral Representations
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►provided that and .