SYNFORMISSUE 2011/03

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A note on the generalized factorial

The set of the generalized factorials {(x|d)i}i=0 is a basis of the vector space of all real polynomials of degree at most n, where (x|d)i = x(x − d) · · · (x − id + d) and d is a fixed negative real number. In this note, we show that if a polynomial has only real nonpositive zeros in the standard basis, then so does the polynomial having the same coefficients with the former in the basis {(x|d...

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ژورنال

عنوان ژورنال: Synfacts

سال: 2011

ISSN: 1861-1958,1861-194X

DOI: 10.1055/s-0030-1259585