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## 1—10 of 78 matching pages

##### 1: 5.21 Methods of Computation

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►For the left half-plane we can continue the backward recurrence or make use of the reflection formula (5.5.3).
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##### 2: About the Project

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##### 3: 13.12 Products

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##### 4: 13.5 Continued Fractions

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►This continued fraction converges to the meromorphic function of $z$ on the left-hand side everywhere in $\u2102$.
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►This continued fraction converges to the meromorphic function of $z$ on the left-hand side throughout the sector $$.
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##### 5: 13.17 Continued Fractions

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►This continued fraction converges to the meromorphic function of $z$ on the left-hand side for all $z\in \u2102$.
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►This continued fraction converges to the meromorphic function of $z$ on the left-hand side throughout the sector $$.
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##### 6: Philip J. Davis

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►In 1957, Davis took over as Chief, Numerical Analysis Section when John Todd and his wife Olga Taussky-Todd, feeling a strong pull toward teaching and research, left to pursue full-time positions at the California Institute of Technology.
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►Davis left NBS in 1963 to become a faculty member in the Division of Applied Mathematics at Brown University, but during the early development of the DLMF, which started in 1998, he was invited back to give a talk and speak with DLMF project members about their plans.
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##### 7: 5.10 Continued Fractions

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5.10.1
$$\mathrm{Ln}\mathrm{\Gamma}\left(z\right)+z-\left(z-\frac{1}{2}\right)\mathrm{ln}z-\frac{1}{2}\mathrm{ln}\left(2\pi \right)=\frac{{a}_{0}}{z+}\frac{{a}_{1}}{z+}\frac{{a}_{2}}{z+}\frac{{a}_{3}}{z+}\frac{{a}_{4}}{z+}\frac{{a}_{5}}{z+}\mathrm{\cdots},$$

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##### 8: 10.70 Zeros

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►In the case $\nu =0$, 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.
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##### 9: 19.10 Relations to Other Functions

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►In each case when $y=1$, the quantity multiplying ${R}_{C}$ supplies the asymptotic behavior of the left-hand side as the left-hand side tends to 0.
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##### 10: 2.3 Integrals of a Real Variable

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►assume $a$ and $b$ are finite, and $q(t)$ is infinitely differentiable on $[a,b]$.
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►provided that the integral on the left-hand side of (2.3.9) converges for all sufficiently large values of $x$.
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►Without loss of generality, we assume that this minimum is at the left endpoint $a$.
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►When the parameter $x$ is large the contributions from the real and imaginary parts of the integrand in
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►For the more general integral (2.3.19) we assume, without loss of generality, that the stationary point (if any) is at the left endpoint.
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