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1: Gergő Nemes
In March 2022, Nemes was named Contributing Developer of the NIST Digital Library of Mathematical Functions.
2: Wolter Groenevelt
As of September 20, 2022, Groenevelt performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 18 Orthogonal Polynomials. …
3: Richard B. Paris
 2022) was Reader in Mathematics at the University of Abertay Dundee, U. …
4: Bibliography T
  • N. M. Temme (1993) Asymptotic estimates of Stirling numbers. Stud. Appl. Math. 89 (3), pp. 233–243.
  • N.M. Temme and E.J.M. Veling (2022) Asymptotic expansions of Kummer hypergeometric functions with three asymptotic parameters a, b and z. Indagationes Mathematicae.
  • N. M. Temme (2022) Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters. Integral Transforms Spec. Funct. 33 (1), pp. 16–31.
  • J. S. Thompson (1996) High Speed Numerical Integration of Fermi Dirac Integrals. Master’s Thesis, Naval Postgraduate School, Monterey, CA.
  • E. C. Titchmarsh (1962b) The Theory of Functions. 2nd edition, Oxford University Press, Oxford.
  • 5: Diego Dominici
    He was elected as Program Director for the period 2011–2016 and served as OPSF-Talk moderator from 2010–2022 with Bonita Saunders, and co-editor for OPSF-Net from 2006–2015 with Martin Muldoon. …
    6: DLMF Project News
    error generating summary
    7: Errata
    Version 1.1.8 (December 15, 2022)
    Version 1.1.7 (October 15, 2022)
    Version 1.1.6 (June 30, 2022)
    Version 1.1.5 (March 15, 2022)
    Version 1.1.4 (January 15, 2022)
    8: 13.8 Asymptotic Approximations for Large Parameters
    These results follow from Temme (2022), which can also be used to obtain more terms in the expansions. For generalizations in which z is also allowed to be large see Temme and Veling (2022).
    9: Bibliography G
  • B. Gabutti (1979) On high precision methods for computing integrals involving Bessel functions. Math. Comp. 33 (147), pp. 1049–1057.
  • J. A. Gaunt (1929) The triplets of helium. Philos. Trans. Roy. Soc. London Ser. A 228, pp. 151–196.
  • A. Gervois and H. Navelet (1986a) Some integrals involving three modified Bessel functions. I. J. Math. Phys. 27 (3), pp. 682–687.
  • G. H. Golub and C. F. Van Loan (1996) Matrix Computations. 3rd edition, Johns Hopkins University Press, Baltimore, MD.
  • R. G. Gordon (1970) Constructing wavefunctions for nonlocal potentials. J. Chem. Phys. 52, pp. 6211–6217.
  • 10: 8.18 Asymptotic Expansions of I x ( a , b )
    If b and x are fixed, with b > 0 and 0 < x < 1 , then as a …for each n = 0 , 1 , 2 , . … If b and a and x are fixed, with a > 0 and 0 < x < 1 , then (8.18.1), with a and b interchanged and x replaced by 1 x , can be combined with (8.17.4). … uniformly for x ( 0 , 1 ] . … uniformly for b ( 0 , ) and x ( 0 , 1 ) . …