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1: Notices
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►Authors of the works appearing in the Digital Library of Mathematical Functions (DLMF) have assigned copyright to the works to NIST, United States Department of Commerce, as represented by the Secretary of Commerce.
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►These mentions are for informational purposes only, and do not imply recommendation or endorsement by NIST.
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►We do this in two ways.
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2: Need Help?
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Graphics
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Mathematics
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Finding Things
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How can I view ‘VRML’? What is it? See Viewing DLMF Interactive 3D Graphics.
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What do the colors mean? See About Color Map.
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I think I found an error! See Possible Errors in DLMF.
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How do I cite DLMF? See How to Cite.
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How do I search within DLMF? See Guide to Searching the DLMF.
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Links to definitions, keywords, annotations and other interesting information can be found in the Info boxes by clicking or hovering the mouse over the icon next to each formula, table, figure, and section heading.
3: Diego Dominici
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►Since May 2023 Diego worked as a senior researcher at the Research Institute for Symbolic Computation at Johannes Kepler Universität, Linz, Austria.
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►In 2008 Dominici received a Research Fellowship from the Alexander von Humboldt Foundation and visited the Technische Universität Berlin in Germany.
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4: DLMF Project News
error generating summary5: 34.10 Zeros
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►In a symbol, if the three angular momenta
do not satisfy the triangle conditions (34.2.1), or if the projective quantum numbers do not satisfy (34.2.3), then the symbol is zero.
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6: Frank W. J. Olver
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►He is particularly known for his extensive work in the study of the asymptotic solution of differential equations, i.
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►In a review of that volume, Jet Wimp of Drexel University said that the papers “exemplify a redoubtable mathematical talent, the work of a man who has done more than almost anyone else in the 20th century to bestow on the discipline of applied mathematics the elegance and rigor that its earliest practitioners, such as Gauss and Laplace, would have wished for it.
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►He also spent time as a Visiting Fellow, or Professor, at the University of Lancaster, U.
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►Fitting capstones to Olver’s long career, these works are on track to extend the legacy of the classic Abramowitz and Stegun handbook well into the 21st century.
…He continued his editing work until the time of his death on April 22, 2013 at age 88.
7: Preface
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►The new Handbook and DLMF are the work of many hands: editors, associate editors, authors, validators, and numerous technical experts.
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►Advanced capabilities have been developed at NIST for the DLMF, and also as part of a larger research effort intended to promote the use of the Web as a tool for doing mathematics.
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►Notwithstanding the great care that has been exercised by the editors, authors, validators, and the NIST staff, it is almost inevitable that in a work of the magnitude and scope of the NIST Handbook and DLMF errors will still be present.
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8: 4.46 Tables
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►This handbook also includes lists of references for earlier tables, as do Fletcher et al. (1962) and Lebedev and Fedorova (1960).
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9: Jim Pitman
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►org and to provide technical support to other organizations willing to do the same.
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10: Mark J. Ablowitz
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►ODEs which do not have moveable branch point singularities.
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