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11: Ian J. Thompson
He was previously Professor in the Department of Physics, University of Surrey at Guildford, U. … His book Nuclear Reactions for Astrophysics was published in 2009 by Cambridge University Press. …
12: Tom M. Apostol
Apostol was born on August 20, 1923. He received his bachelor of science in chemical engineering in 1944 and a master’s degree in mathematics in 1946, both from the University of Washington, Seattle. … in mathematics from the University of California, Berkeley. … He was a visiting professor at the University of Patras in Greece in 1978, and was elected a Corresponding Member of the Academy of Athens in 2001 (where he delivered his inaugural lecture in Greek). … He was also a coauthor of three textbooks written to accompany the physics telecourse The Mechanical Universe …and Beyond. …
13: Frank Garvan
… …  1955 in Sydney, Australia) is a professor of mathematics at the University of Florida. He did his Masters degree with Mike Hirschhorn (University of New South Wales). He did postdocs with Dick Askey (University of Wisconsin), Dennis Stanton (University of Minnesota), John Loxton (Macquarie University), and Jon and Peter Borwein (Dalhousie University). …
14: Vadim B. Kuznetsov
… …  2005) was Reader in Applied Analysis in the Department of Applied Mathematics at the University of Leeds, U. …, having previously held Research Fellowships at Leningrad University, the University of Amsterdam, the Technical University of Denmark, and the University of Montreal. …
15: Stephen M. Watt
Cheriton School of Computer Science at the University of Waterloo, where from 2015 to 2020 he also served as Dean of the Faculty of Mathematics. … Prior to joining the University of Waterloo, Watt was Distinguished University Professor of the University of Western Ontario and Professor at the University of Nice-Sophia Antipolis. …
16: 9.18 Tables
  • Miller (1946) tabulates Ai ( x ) , Ai ( x ) for x = 20 ( .01 ) 2 ; log 10 Ai ( x ) , Ai ( x ) / Ai ( x ) for x = 0 ( .1 ) 25 ( 1 ) 75 ; Bi ( x ) , Bi ( x ) for x = 10 ( .1 ) 2.5 ; log 10 Bi ( x ) , Bi ( x ) / Bi ( x ) for x = 0 ( .1 ) 10 ; M ( x ) , N ( x ) , θ ( x ) , ϕ ( x ) (respectively F ( x ) , G ( x ) , χ ( x ) , ψ ( x ) ) for x = 80 ( 1 ) 30 ( .1 ) 0 . Precision is generally 8D; slightly less for some of the auxiliary functions. Extracts from these tables are included in Abramowitz and Stegun (1964, Chapter 10), together with some auxiliary functions for large arguments.

  • Zhang and Jin (1996, p. 337) tabulates Ai ( x ) , Ai ( x ) , Bi ( x ) , Bi ( x ) for x = 0 ( 1 ) 20 to 8S and for x = 20 ( 1 ) 0 to 9D.

  • Miller (1946) tabulates a k , Ai ( a k ) , a k , Ai ( a k ) , k = 1 ( 1 ) 50 ; b k , Bi ( b k ) , b k , Bi ( b k ) , k = 1 ( 1 ) 20 . Precision is 8D. Entries for k = 1 ( 1 ) 20 are reproduced in Abramowitz and Stegun (1964, Chapter 10).

  • Sherry (1959) tabulates a k , Ai ( a k ) , a k , Ai ( a k ) , k = 1 ( 1 ) 50 ; 20S.

  • Zhang and Jin (1996, p. 339) tabulates a k , Ai ( a k ) , a k , Ai ( a k ) , b k , Bi ( b k ) , b k , Bi ( b k ) , k = 1 ( 1 ) 20 ; 8D.

  • 17: Bibliography D
  • C. de la Vallée Poussin (1896b) Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire M x + N . Ann. Soc. Sci. Bruxelles 20, pp. 281–397 (French).
  • P. Dienes (1931) The Taylor Series. Oxford University Press, Oxford.
  • J. M. Dixon, J. A. Tuszyński, and P. A. Clarkson (1997) From Nonlinearity to Coherence: Universal Features of Nonlinear Behaviour in Many-Body Physics. Oxford University Press, Oxford.
  • B. Döring (1966) Complex zeros of cylinder functions. Math. Comp. 20 (94), pp. 215–222.
  • T. M. Dunster (1989) Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions. SIAM J. Math. Anal. 20 (3), pp. 744–760.
  • 18: Bibliography S
  • K. L. Sala (1989) Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean. SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
  • A. Sharples (1967) Uniform asymptotic forms of modified Mathieu functions. Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
  • B. D. Sleeman (1966a) Some Boundary Value Problems Associated with the Heun Equation. Ph.D. Thesis, London University.
  • J. R. Stembridge (1995) A Maple package for symmetric functions. J. Symbolic Comput. 20 (5-6), pp. 755–768.
  • F. Stenger (1993) Numerical Methods Based on Sinc and Analytic Functions. Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
  • 19: Antony Ross Barnett
    … …  2018) was Senior Research Fellow in the Mathematics Department, University of Waikato, Hamilton, New Zealand. … degree from Oxford University in 1965, and was Lecturer in Physics at the University of Manchester, U. …
    20: Alexander A. Its
    … … Petersburg, Russia) is Professor of Mathematics in the Department of Mathematical Sciences of Indiana University—Purdue University, Indianapolis. …