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11: 19.31 Probability Distributions

… ► $R_G(x,y,z)$ and $R_F(x,y,z)$ occur as the expectation values, relative to a normal probability distribution in ${ℝ}^2$ or ${ℝ}^3$, of the square root or reciprocal square root of a quadratic form. …

12: 25.16 Mathematical Applications

… ►which satisfies the reciprocity law …

13: 19.7 Connection Formulas

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Reciprocal-Modulus Transformation

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14: Bibliography N

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Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal. Proc. Roy. Soc. Edinburgh Sect. A 145 (3), pp. 571–596.

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External Links:

ISSN 0308-2105, Document, Link, MathReview Entry, ZentralBlatt

Referenced by:

§5.11(i), §5.11(i).

Encodings:

BibTeX

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15: Bibliography F

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On the reciprocal modulus relation for elliptic integrals. SIAM J. Math. Anal. 1 (4), pp. 524–526.

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External Links:

Document, MathReview (B. C. Carlson), ZentralBlatt

Referenced by:

§19.7(i).

Encodings:

BibTeX

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16: 1.11 Zeros of Polynomials

… ►The zeros of $z^{n}f(1/z)=a_0{z}^n+a_1{z}^{n-1}+\mathrm{\cdots }+a_n$ are reciprocals of the zeros of $f(z)$. …

17: 1.9 Calculus of a Complex Variable

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1.9.54 $$\frac{1}{f(z)}=b_0+b_{1}z+b_2{z}^2+\mathrm{\cdots },$$

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Symbols:

$z$: variable

Referenced by:

§1.9(vi)

Permalink:

http://dlmf.nist.gov/1.9.E54

Encodings:

pMML, png, TeX

See also:

Annotations for §1.9(vi), §1.9(vi), §1.9 and Ch.1

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