Displaying similar documents to “Some properties of weighted hyperbolic polynomials.”

Differential equations associated with generalized Bell polynomials and their zeros

Seoung Cheon Ryoo (2016)

Open Mathematics

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In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.

Some Coefficient Estimates for Polynomials on the Unit Interval

Qazi, M. A., Rahman, Q. I. (2007)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05. In this paper we present some inequalities about the moduli of the coefficients of polynomials of the form f (x) : = еn = 0nan xn, where a0, ј, an О C. They can be seen as generalizations, refinements or analogues of the famous inequality of P. L. Chebyshev, according to which |an| Ј 2n-1 if | еn = 0n an xn | Ј 1 for -1 Ј x Ј 1.