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1: Software Index
  • Commercial Software.

    Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.

  • 2: Bibliography S
  • F. Stenger (1993) Numerical Methods Based on Sinc and Analytic Functions. Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
  • 3: Wadim Zudilin
     Robinson Award of the Canadian Mathematical Society. …
    4: 8.21 Generalized Sine and Cosine Integrals
    Furthermore, si ( a , z ) and ci ( a , z ) are entire functions of a , and Si ( a , z ) and Ci ( a , z ) are meromorphic functions of a with simple poles at a = 1 , 3 , 5 , and a = 0 , 2 , 4 , , respectively. … When ph z = 0 (and when a 1 , 3 , 5 , , in the case of Si ( a , z ) , or a 0 , 2 , 4 , , in the case of Ci ( a , z ) ) the principal values of si ( a , z ) , ci ( a , z ) , Si ( a , z ) , and Ci ( a , z ) are defined by (8.21.1) and (8.21.2) with the incomplete gamma functions assuming their principal values (§8.2(i)). Elsewhere in the sector | ph z | π the principal values are defined by analytic continuation from ph z = 0 ; compare §4.2(i). … For the functions on the right-hand sides of (8.21.10) and (8.21.11) see §6.2(ii). … When | ph z | < 1 2 π , …
    5: Bibliography B
  • J. M. Borwein and P. B. Borwein (1987) Pi and the AGM, A Study in Analytic Number Theory and Computational Complexity. Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons Inc., New York.