You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.

38 lines
937 B

25 years ago
  1. \input amssym.def
  2. \input amssym
  3. \magnification=\magstep3
  4. \hsize=17truecm
  5. \vsize=19truecm
  6. \nopagenumbers
  7. \parindent=0mm
  8. \font\eins=cmb10 scaled \magstep 3
  9. \font\zwei=cmr12
  10. \font\mini=cmr7
  11. \def\frac#1#2{{{#1} \over {#2}}}
  12. \hbox{}
  13. \vfill
  14. \centerline{\eins Other Applications}
  15. \bigskip\bigskip
  16. \item{$\bullet$} exp, sin, cos, log, arctan, etc.
  17. \medskip
  18. \item{$\bullet$} $\pi$ (Chudnovsky's formula, a Ramanujan type series)
  19. \medskip
  20. \item{$\bullet$} hypergeometric functions at $x \in {\Bbb Q}$
  21. \medskip
  22. \item{$\bullet$} hypergeometric and holonomic functions at $x \in {\Bbb C}$
  23. [J.\ van der Hoeven]
  24. \medskip
  25. \item{$\bullet$} $\Gamma(x)$ at $x \in {\Bbb Q}$
  26. \medskip
  27. \item{$\bullet$} Large terms of P-recursive sequences, i.e.\ $f_n$ ($n$ large)
  28. where ${f(x) = \sum f_n x^n}$ is holonomic,
  29. \medskip
  30. \item{$\bullet$} $\zeta(k)$, $k > 1$ odd (using Cohen-Villegas-Zagier
  31. convergence acceleration)
  32. \vfill
  33. \hbox{}
  34. \eject
  35. \end