Some Properties of Meromorphic Solutions of Logarithmic Order to Higher Order Linear Difference Equations
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517.9 (245)
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243)
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BELAIDI, Benharrat. Some Properties of Meromorphic Solutions of Logarithmic Order to Higher Order Linear Difference Equations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 1(83), pp. 15-28. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(83) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

Some Properties of Meromorphic Solutions of Logarithmic Order to Higher Order Linear Difference Equations
CZU: 517.9
MSC 2010: 39A10, 30D35, 39A12.

Pag. 15-28

Belaidi Benharrat
 
Department of Mathematics, University of Mostaganem (UMAB)
 
 
Disponibil în IBN: 4 august 2017


Rezumat

This paper is devoted to the study of the growth of solutions of the linear di®erence equation An (z) f (z n) An¡1 (z) f (z n ¡ 1) ¢ ¢ ¢ A1 (z) f (z 1) A0 (z) f (z) = 0; where An (z) ; ¢ ¢ ¢ ;A0 (z) are entire or meromorphic functions of ¯nite logarithmic order. We extend some precedent results due to Liu and Mao, Zheng and Tu, Chen and Shon and others.

Cuvinte-cheie
Linear difference equations, Logarithmic order, Logarithmic type, Logarithmic lower order, Logarithmic lower type,

Meromorphic function