Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4524
Title: | Unimodality polynomials and generalized Pascal triangles |
Authors: | Ahmia, M. Belbachir, H. |
Keywords: | unimodality log-concavity ordinary multinomials Pascal triangle |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | Математичні науки; |
Abstract: | In this paper, we show that if P(x) = Pm k=0 akx k is a polynomial with nondecreasing, nonnegative coefficients, then the coefficients sequence of P(x s + · · · + x + 1) is unimodal for each integer s > 1. This paper is an extension of Boros and Moll’s result “A criterion for unimodality”, who proved that the polynomial P(x + 1) is unimodal. |
Description: | Ahmia M. Unimodality polynomials and generalized Pascal triangles / M. Ahmia , H. Belbachir // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp. 1 - 7 |
URI: | http://hdl.handle.net/123456789/4524 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (26). - 2018 |
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193-3643-1-PB.pdf | 313.47 kB | Adobe PDF | View/Open |
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