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1: Bibliography D
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Integral Transforms and their Applications.
2nd edition, Applied Mathematical Sciences, Vol. 25, Springer-Verlag, New York.
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Methods of Numerical Integration.
2nd edition, Computer Science and Applied Mathematics, Academic Press Inc., Orlando, FL.
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A Practical Guide to Splines.
Revised edition, Applied Mathematical Sciences, Vol. 27, Springer-Verlag, New York.
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Recherches analytiques sur la théorie des nombres premiers. Première partie. La fonction de Riemann et les nombres premiers en général, suivi d’un Appendice sur des réflexions applicables à une formule donnée par Riemann.
Ann. Soc. Sci. Bruxelles 20, pp. 183–256 (French).
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Handbuch der Laplace-Transformation. Bd. II. Anwendungen der Laplace-Transformation. 1. Abteilung.
Birkhäuser Verlag, Basel und Stuttgart (German).
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2: Bibliography H
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A Boole-type Formula involving Conjugate Euler Polynomials.
In Charlemagne and his Heritage. 1200 Years of Civilization and
Science in Europe, Vol. 2 (Aachen, 1995), P.L. Butzer, H. Th. Jongen, and W. Oberschelp (Eds.),
pp. 361–375.
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Coulomb Wave Functions.
In Handbuch der Physik, Bd. 41/1, S. Flügge (Ed.),
pp. 408–465.
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3: 8 Incomplete Gamma and Related
Functions
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4: 20 Theta Functions
Chapter 20 Theta Functions
…5: William P. Reinhardt
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►Reinhardt is a frequent visitor to the NIST Physics Laboratory in Gaithersburg, and to the Joint Quantum Institute (JQI) and Institute for Physical Sciences and Technology (ISTP) at the University of Maryland.
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►Reinhardt was elected to Fellowship in: The American Physical Society 1980, the American Association for the Advancement of Science 1983, Phi Beta Kappa 1998, and The Institute of Physics (UK) 2000.
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►In November 2015, Reinhardt was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 20, 22, and 23.
6: Staff
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Charles W. Clark, Physical Sciences Editor, NIST (retired)
William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23
William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, for Chaps. 20, 22, 23
7: Foreword
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►Particular attention is called to the generous support of the National Science Foundation, which made possible the participation of experts from academia and research institutes worldwide.
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►November 20, 2009
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8: Publications
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D. W. Lozier, B. R. Miller and B. V. Saunders (1999)
Design of a Digital Mathematical Library for Science, Technology and Education,
Proceedings of the
IEEE Forum on Research and Technology Advances in Digital Libraries (IEEE ADL ’99,
Baltimore, Maryland, May 19, 1999).
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A. Youssef (2006)
Roles of Math Search in Mathematics,
in Mathematical Knowledge Management,
Proceedings of the 5th International Conference
on Mathematical Knowledge Management,
Lecture Notes in Computer Science, Vol. 4108,
Springer-Verlag, 2006.
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Q. Wang, B. V. Saunders and S. Ressler (2007)
Dissemination of 3D Visualizations of Complex Function Data
for the NIST Digital Library of Mathematical Functions,
CODATA Data Science Journal 6 (2007), pp. S146–S154.
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B. Saunders and Q. Wang (2010)
Tensor Product B-Spline Mesh Generation for Accurate Surface Visualizations
in the NIST Digital Library of Mathematical Functions,
in Mathematical Methods for Curves and Surfaces, Proceedings of the 2008 International
Conference on Mathematical Methods for Curves and Surfaces (MMCS 2008), Lecture Notes in Computer
Science, Vol. 5862, (M. Dæhlen, M. Floater., T. Lyche, J. L. Merrien, K. Mørken, L. L. Schumaker, eds),
Springer, Berlin, Heidelberg (2010) pp. 385–393.
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B. I. Schneider, B. R. Miller and B. V. Saunders (2018)
NIST’s Digital Library of Mathematial Functions,
Physics Today
71, 2, 48 (2018), pp. 48–53.
9: 28 Mathieu Functions and Hill’s Equation
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