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21: 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. …
22: 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. …
23: 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.

  • 24: 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.
  • 25: 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. …
    26: Alexander A. Its
    … … Petersburg, Russia) is Professor of Mathematics in the Department of Mathematical Sciences of Indiana University—Purdue University, Indianapolis. …
    27: Brian R. Judd
    … …  Dieke Professor Emeritus in the Department of Physics and Astronomy at The Johns Hopkins University, Baltimore. Judd’s books include Operator Techniques in Atomic Spectroscopy, published by McGraw-Hill in 1963 and reprinted by Princeton University Press in 1998, Second Quantization and Atomic Spectroscopy, published by Johns Hopkins in 1967, Topics in Atomic and Nuclear Theory (with J. … Judd is an Honorary Fellow of Brasenose College, Oxford University, and a Fellow of the American Physical Society. …
    28: Abdou Youssef
    … …  1960 in Lebanon) is Professor of Computer Science in, and Former Chairman of, the Department of Computer Science at The George Washington University, Washington, D. … degree in mathematics from the Lebanese University, and his M. …degrees in computer science from Princeton University. …
    29: 31 Heun Functions
    30: Edward Neuman
    … …  1943 in Rydultowy, Poland) is Professor in the Department of Mathematics, Southern Illinois University at Carbondale. …