Correction to a Theorem of Schoenberg

نویسندگان

  • CARL JOHAN RAGNARSSON
  • DAVID G. WAGNER
چکیده

A well–known theorem of Schoenberg states that if f(z) generates a PFr sequence then 1/f(−z) generates a PFr sequence. We give two counterexamples which show that this is not true, and give a correct version of the theorem. In the infinite limit the result is sound: if f(z) generates a PF sequence then 1/f(−z) generates a PF sequence.

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تاریخ انتشار 2004