Meromorphic solutions of linear difference equations with polynomial coefficients

• Autorzy: Zhang Y. , Gao Z. , Zhang H.

Identyfikatory

DOI

10.1515/fascmath-2017-0024

• Języki publikacji: EN

Abstrakty

EN

We study the growth of the transcendental meromorphic solution f(z) of the linear difference equation: [formula] where q(z), p₀(z), . . ., p_n(z) (n ≥ 1) are polynomials such that p₀(z)p_n(z) ≠ 0, and obtain some necessary conditions guaranteeing that the order of ƒ(z) satisfies σ(ƒ) ≥ 1 using a difference analogue of the Wiman-Valiron theory. Moreover, we give the form of ƒ(z) with two Borel exceptional values when two of p₀(z), . . ., p_n(z) have the maximal degrees.

Słowa kluczowe

EN

growth; difference equation; Borel exceptional value

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 59
• Strony: 159--168
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Zhang Y.

• LMIB & School of Mathematica and Systems Science, Beihang University, Beijing, 100191, P.R. China

autor

Gao Z.

• LMIB & School of Mathematica and Systems Science, Beihang University, Beijing, 100191, P.R. China

autor

Zhang H.

• LMIB & School of Mathematica and Systems Science, Beihang University, Beijing, 100191, P.R. China

Bibliografia

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