Powersum formula for differential resolvents
نویسنده
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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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004