Dimitrov, Dimitar Kolev [UNESP]Kostov, Vladimir P.2014-05-202014-05-202012-07-01Revista Matematica Complutense. New York: Springer, v. 25, n. 2, p. 475-491, 2012.1139-1138http://hdl.handle.net/11449/21767For any pair of algebraic polynomials A(x) = Sigma(n)(k=0) ((n)(k))a(k)x(k) and B(x) = Sigma(n)(k=0) ((n)(k))b(k)x(k), their Schur-Szego composition is defined by (A (*)(n) B)(x) = Sigma(n)(k=0) ((n)(k))a(k)b(k)x(k). Motivated by some recent results which show that every polynomial P(x) of degree n with P(-1) = 0 can be represented as K-a1 (*)(n) ... (*)(n) Kan-1 with K-a := (x + 1)(n-1) (x + a), we introduce the notion of Schur-Szego composition of formal power series and study its properties in the case when the series represents an entire function. We also concentrate on the special case of composition of functions of the form e(x) P(x), where P(x) is an algebraic polynomial and investigate its properties in detail.475-491engSchur-Szego compositionEntire functionsHyperbolic polynomialsLaguerre-Polya classArtigo10.1007/s13163-011-0078-3WOS:000305478800007Acesso restrito1681267716971253