Entire and meromorphic solutions of linear difference equations

• Autorzy: Dyavanal R. S. , Mathai M. M.

Identyfikatory

DOI

10.1515/fascmath-2016-0003

• Języki publikacji: EN

Abstrakty

EN

In this paper, we shall investigate the existence of finite order entire and meromorphic solutions of linear difference equation of the form fⁿ(z)+p(z)f^n-2(z)+L(z, f)=h(z) where L(z, f) is linear difference polynomial in f(z), p(z) is non-zero polynomial and h(z) is a meromorphic function of finite order. We also consider finite order entire solution of linear difference equation of the form fⁿ(z)+p(z)L(z, f)-r(z)e^q(z) where r(z) and q(z) are polynomials.

Słowa kluczowe

EN

fnite order; linear difference equation meromorphic function; Nevanlinna theory

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 56
• Strony: 43--59
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Dyavanal R. S.

• Department of Mathematics, Karnatak University, Dharwad-580003, India

autor

Mathai M. M.

• Department of Mathematics, Karnatak University, Dharwad-580003, India

Bibliografia

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• [9] Qi X., Yang L., Properties of Meromorphic solutions to certain differential-difference equations, Electron. J. Differential Equations, 2013(135)(2013), 1-9.
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• [12] Yang C.C., Laine I., On analogies between nonlinear difference and differential equations, Proc. Japan Acad., 86. Ser. A (2010), 10-14.
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.