Some New Formulas for π

نویسندگان

  • Gert Almkvist
  • Christian Krattenthaler
  • Joakim Petersson
چکیده

We show how to find series expansions for π of the form π = ∞ n=0 S(n) mn pn a n , where S(n) is some polynomial in n (depending on m, p, a). We prove that there exist such expansions for m = 8k, p = 4k, a = (−4) k , for any k, and give explicit examples for such expansions for small values of m, p and a.

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عنوان ژورنال:
  • Experimental Mathematics

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2003