Powersum formula for differential resolvents

نویسنده

  • John Michael Nahay
چکیده

We will prove that we can specialize the indeterminate α in a linear differential α-resolvent of a univariate polynomial over a differential field of characteristic zero to an integer q to obtain a q-resolvent. We use this idea to obtain a formula, known as the powersum formula, for the terms of theα-resolvent. Finally, we use the powersum formula to rediscover Cockle’s differential resolvent of a cubic trinomial.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2004  شماره 

صفحات  -

تاریخ انتشار 2004