WALAILAK JOURNAL OF SCIENCE AND TECHNOLOGY

Volume 16, No. 09, Month SEPTEMBER, Year 2019, Pages 625 - 633

Sequences generated by polynomials over integral domains

Veasna KIM, Vichian LAOHAKOSOL, Supawadee PRUGSAPITAK

Abstract Download PDF

Let D be an integral domain. For sequences a = (a1; a2; : : : ; an) and I = (i1; i2; : : : ; in) in Dn with distinct ij , call a a (Dn; I)-polynomial sequence if there exists f(x) 2 D[x] such that f(ij) = aj (j = 1; : : : ; n). Criteria for a sequence to be a (Dn; I)-polynomial sequence are established and explicit structures of Dn/Pn;I where Pn;I is the set of all (Dn; I)-polynomial sequences are determined.

Keywords

Polynomial sequences, sequence over integral domain, interpolation polynomials

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