Meromorphic solutions of the difference equation {$y(x+1)=y(x)+1+\lambda /y(x)$}. I

MR0518294 Yanagihara, Niro Niro YANAGIHARA Meromorphic solutions of the difference equation {$y(x+1)=y(x)+1+\lambda /y(x)$}. I Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo. Funkcialaj Ekvaciog. Serio Internacia 21 1978 97--104 http://fe.math.kobe-u.ac.jp/FE/Free/vol21/fe21-2-2.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe21-097-104/fe21-097-104.pdf http://www.ams.org/mathscinet-getitem?mr=MR0518294 fe21-097-104 1978 Meromorphic Solutions of the Difference Equation $y(x+1)=y(x)+1+\frac{\lambda}{y(x)}$ I YANAGIHARA, Niro YANAGIHARA, Niro 1 Kimura, T. On the iteration of analytic functions Funkcial. Ekvac. 14 1971 197-238 MR0302876 0302876 100 Cache/Ki/Kimura,iteration,Funkcial*,1971,1972

2 Kimura, T. On meromorphic solutions of the difference equation $y(x+1)=y(x)+1+(\lambda/y(x))$ Symposium on Ordinary Differential Equations, Lecture Notes in Math., No. 312, Springer-Verlag, Berlin-Heidelberg-New York 1973 74-86 MR0399684

3 Takano, K. On the hypertranscendency of solutions of a difference equation of Kimura Funkcial. Ekvac. 16 1973 241-254 MR0352587 0352587 100 Cache/Ta/Takano,hypertranscendency,Funkcial*,1973,1974 4 Nevanlinna, R. Analytic Functions Springer-Verlag, Berlin-Heidelberg-New York 1970 MR0279280 100 Cache/Ne/Nevanlinna,Functions,*,1970,1971 viii+373 5 Tsuji, T. Potential Theory in Modern Function Theory Chelsea Publ., New York 1975 MR0414898 100 Cache/Ts/Tsuji,Potential,*,1975,1976 x+590 6 Hayman, W. K. Meromorphic Functions Clarendon Press, Oxford 1964 MR0164038 100 Cache/Ha/Hayman,Meromorphic,*,1964,1965 xiv+191