FINITE LOGARITHMIC ORDER SOLUTIONS OF LINEAR q-DIFFERENCE EQUATIONS

Title & Authors
FINITE LOGARITHMIC ORDER SOLUTIONS OF LINEAR q-DIFFERENCE EQUATIONS
Wen, Zhi-Tao;

Abstract
During the last decade, several papers have focused on linear q-difference equations of the form ${\sum}^n_{j Keywords logarithmic Borel exceptional value;logarithmic derivative;logarithmic exponent of convergence;logarithmic order;q-Casorati determinant;q-difference equation; Language English Cited by 1. Growth of Meromorphic Solutions to Some Complex Functional Equations, Computational Methods and Function Theory, 2016, 16, 3, 489 2. Growth of Meromorphic Solutions of Finite Logarithmic Order of Linear Difference Equations, Fasciculi Mathematici, 2015, 54, 1 References 1. M. H. Abu Risha, M. H. Annaby, M. E. H. Ismail, and Z. S. Mansour, Linear q-difference equations, Z. Anal. Anwend. 26 (2007), no. 4, 481-494. 2. G. E. Andrews, R. Asker, and R. Roy, Special Functions, Cambridge University press, 1999. 3. D. C. Barnett, R. G. Halburd, W. Morgan, and R. J. Korhonen, Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations, Proc. Roy. Soc. Edinburgh Sect. A 137 (2007), no. 3., 457-474. 4. C. Berg and H. L. Pedersen, Logarithmic order and type of indeterminate moment problems, With an appendix by Walter Hayman, Difference equations, special functions and orthogonal polynomials, 51-79, World Sci. Publ., Hackensack, NJ, 2007. 5. W. Bergweiler and W. K. Hayman, Zeros of solutions of a functional equation, Comput. Methods Funct. Theory 3 (2003), no. 1, 55-78. 6. W. Bergweiler, K. Ishizaki, and N. Yanagihara, Meromorphic solutions of some functional equations, Methods Appl. Anal. 5 (1998), no. 3, 248-258. 7. W. Bergweiler, K. Ishizaki, and N. Yanagihara, Growth of meromorphic solutions of some functional equations, I. Aequationes Math. 63 (2002), no. 1-2, 140-151. 8. B.-Q. Chen and Z.-X. Chen, Meromorphic solutions of some q-difference equations, Bull. Korean Math. Soc. 48 (2011), no. 6, 1303-1314. 9. B.-Q. Chen, Z.-X. Chen, and S. Li, Properties on solutions of some q-difference equations, Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 10, 1877-1886. 10. Y.-M. Chiang and S. J. Feng, On the Nevanlinna characteristic of f(z+${\eta}\$) and difference equations in the complex plane, Ramanujan J. 16 (2008), no. 1, 105-129.

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