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1: Gergő Nemes
In March 2022, Nemes was named Contributing Developer of the NIST Digital Library of Mathematical Functions.
2: Richard B. Paris
 2022) was Reader in Mathematics at the University of Abertay Dundee, U. …
3: DLMF Project News
error generating summary
4: Bibliography T
  • 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.
  • 5: 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).
    6: 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 ) . …
    7: 27.11 Asymptotic Formulas: Partial Sums
    Dirichlet’s divisor problem (unsolved as of 2022) is to determine the least number θ 0 such that the error term in (27.11.2) is O ( x θ ) for all θ > θ 0 . …
    8: Bibliography O
  • A. M. Ostrowski (1973) Solution of Equations in Euclidean and Banach Spaces. Pure and Applied Mathematics, Vol. 9, Academic Press, New York-London.
  • 9: 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)
    10: 27.16 Cryptography
    To code a message by this method, we replace each letter by two digits, say A = 01 , B = 02 , , Z = 26 , and divide the message into pieces of convenient length smaller than the public value n = p q . …