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1: Javier Segura
Segura has published numerous papers on special functions and related topics. …Temme) of the book Numerical Methods for Special Functions, published by SIAM in 2007. …5 on Numerical Software. …
  • 2: 3 Numerical Methods
    Chapter 3 Numerical Methods
    3: 32.17 Methods of Computation
    For numerical studies of P I  see Holmes and Spence (1984), Noonburg (1995), and Fornberg and Weideman (2011). For numerical studies of P II  see Rosales (1978), Miles (1978, 1980), Kashevarov (1998, 2004), and S. …For numerical studies of P IV  see Bassom et al. (1993).
    4: Bibliography X
  • G. L. Xu and J. K. Li (1994) Variable precision computation of elementary functions. J. Numer. Methods Comput. Appl. 15 (3), pp. 161–171 (Chinese).
  • 5: Amparo Gil
     Temme) of the book Numerical Methods for Special Functions, published by SIAM in 2007. …
  • 6: Ira Gessel
    Gessel has published numerous papers in enumerative combinatorics. …
    7: Ronald F. Boisvert
    His research interests include numerical solution of partial differential equations, mathematical software, and information services that support computational science. Boisvert has served as Editor-in-Chief of the ACM Transactions on Mathematical Software 1992-2005, and cochair of the Numerics Working Group of the Java Grande Forum 1998-2003. …5 (Numerical Software). …
    8: B. L. J. Braaksma
    He has published numerous papers on special functions and related topics. …
    9: Nico M. Temme
    Temme’s main research interests are the asymptotic and numerical aspects of special functions. He has published numerous papers on these topics, and his well-known book Special Functions: An Introduction to the Classical Functions of Mathematical Physics was published by John Wiley and Sons in 1996. …Segura) of Numerical Methods for Special Functions, published by SIAM in 2007. …
  • 10: 31.18 Methods of Computation
    Independent solutions of (31.2.1) can be computed in the neighborhoods of singularities from their Fuchs–Frobenius expansions (§31.3), and elsewhere by numerical integration of (31.2.1). Subsequently, the coefficients in the necessary connection formulas can be calculated numerically by matching the values of solutions and their derivatives at suitably chosen values of z ; see Laĭ (1994) and Lay et al. (1998). …