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►Figure 1: The Editors and 9 of the 10 Associate Editors of the DLMF Project (photo taken at 3rd Editors Meeting, April, 2001).
The front row, from left to right: Ronald F.
…The back row, from left to right: William P.
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►This continued fraction converges to the meromorphic function of on the left-hand side everywhere in .
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►This continued fraction converges to the meromorphic function of on the left-hand side throughout the sector .
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►This continued fraction converges to the meromorphic function of on the left-hand side for all .
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►This continued fraction converges to the meromorphic function of on the left-hand side throughout the sector .
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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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To increase the region of validity of this equation, the logarithm of the
gamma function that appears on its left-hand side has been changed to
, where is the general logarithm.
Originally was used, where
is the principal branch of the logarithm.
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►In the case , numerical tabulations (Abramowitz and Stegun (1964, Table 9.12)) indicate that each of (10.70.2) corresponds to the th zero of the function on the left-hand side.
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►assume and are finite, and is infinitely differentiable on .
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►provided that the integral on the left-hand side of (2.3.9) converges for all sufficiently large values of .
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►Without loss of generality, we assume that this minimum is at the left endpoint .
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►When the parameter 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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