Details

Autor(en) / Beteiligte

• Chen, Bao Qin
• Chen, Zong Xuan
• Li, Sheng

Titel

Properties on Solutions of Some q-Difference Equations

Ist Teil von

• Acta mathematica Sinica. English series, 2010-10, Vol.26 (10), p.1877-1886

Ort / Verlag

Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We consider the properties on solutions of some q-difference equations of the form ∑ n j=0 aj（z）f（qj z）=an＋1（z）, where a0（z）,..., an＋1（z） are meromorphic functions, a0（z）an（z） ≠ 0 and q ∈ C such that 0 〈 ｜q｜ ≤ 1. We give estimates on the upper bound for the length of the gap in the power series of entire solutions of （＊） when the coefficients a0（z）,..., an＋1（z） are polynomials and 0 〈 ｜q｜ 〈 1. For some special cases, we give estimates of growth of f（z）. And we also show that the case 0 〈 ｜q｜ 〈 1 is different from the case ｜q｜=1.