Publications

• Y. M. Chiang and K. W. Yu, "On complex oscillation, function-theoretic quantization of non-homogeneous periodic ODEs and special functions", Proceedings of Royal Society of Edinburgh, 142A (2012) 449-477  (http://arxiv.org/abs/1002.3853)
• Y. M. Chiang and K. W. Yu, "Subnormal solutions of non-homogeneous periodic ODEs, special functions and special polynomials"  Journal fˆ¢r die reine und angewandte Mathematik (Crelle's Journal) 651(2011) 127-164 (arXiv: 0906.4659).
• Y. M. Chiang and S. J. Feng, "On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions",  Transaction of American Mathematical Society 361, no. 7 (2009) 3767-3791 (arXiv: math/0610480)
• Y. M. Chiang and S. J. Feng, "On the growth of $f(z+\eta)$ and difference equations in the complex plane", The Ramanujan Journal  16 (2008) 105-129 (arXiv: math/0609324v3)
• Y. M. Chiang and S. J. Feng, "Difference independence of Riemann Zeta function",  Acta Arithmetica, 125 (4) 2006, 317-329. (arXiv: math/0610479)
• Y. M. Chiang and S. N. M. Ruijsenaars, "On the Nevanlinna order of meromorphic solutions to linear analytic
  difference equations", Studies in Applied Mathematics, 116, (2006) 257--287.
• Y. M. Chiang and M. E. H. Ismail, "On value distribution theory of second order periodic ODES, special functions and
  orthogonal polynomials", Canadian Journal of Mathematics, 58, (2006) 726--767.  (Corrigendum Canadian Journal of Mathematics, 62, (2010) p, 261)
• Y. M. Chiang and W. K. Hayman, "Estimates on the growth of entire and meromorphic solutions of linear differential equations",
  Commentarii Mathematici Helvetici, 79 (2004), 451--470.
• Y. M. Chiang and R. G. Halburd, "On the meromorphic solutions to an equation of Hayman", Journal of Mathematical Analysis and Applications,  281 (2003), 663--677.
• Y. M. Chiang and M. E. H. Ismail,  ``Complex oscillation theory and special functions", Mathematical Reports of
  the Academy of Science of Canada,  24 No. 3, 2002. (research announcement).
• Y. M. Chiang and S. Gao, "On a problem in oscillation theory of periodic second order linear differential equations and
  some related perturbation results", Annales Academiae Scientiarum Fennicae. Series A I. Mathematica,  27 (2002), 273-290.
• Y. M. Chiang, "On the zero-free solutions of linear periodic differential equations in the complex plane", Results in Math, 38 (2000), 213-225.
• Y. M. Chiang and I. Laine, "Some oscillation results for linear differential equations in the complex plane",  Japanese J. of
  Math.,  24 (2), (1998), 367-402.
• Y. M. Chiang and S. Wang, "Oscillation results of certain higher order linear differential equations with periodic coefficients in the complex plane", Journal of Mathematical Analysis and Applications.,  215 (1997), 560-576.
• Y. M. Chiang, I. Laine and S. Wang, "On complex oscillation of a third order linear periodic differential equation in the complex
  plane", Complex Variables. Theory and Application, 34 (1997), 25--34.
• Y. M. Chiang, "On the complex oscillation of $y''+(e^z-K)y=0$ and a result of Bank, Laine and Langley", Proc. Computational Methods and Function Theory, Series in Approximations and Decompositions--Vol. 5, World Scientific 1995, 125--134 (refereed).
• Y. M. Chiang, I. Laine and S. Wang, "Oscillation results for some linear differential equations", Math. Scand.,  77 (1995), 209--224.
• Y. M. Chiang, "Oscillation results on y''+Ay=0 in the complex domain with transcendental entire coefficients which have extremal deficiencies", Proc. Edinb.  Math.  Soc.,  35 (1995), 13--34.
• Y. M. Chiang, "Some properties of analytic functions with small schwarzian", Comp. Var. Theo and Appl.,  25 (1994), 107--118.
• Y. M. Chiang,   "Some remarks on Lehto's domain constant", Annales Academiae Scientiarum Fennicae. Series A I.
  Mathematica.,  17 (1992), 285--293.
• Y. M. Chiang, "On a subclass of strongly gamma--starlike functions and quasiconformal extensions", Annales Universitatis Mariae Curie--Sklodowska. Sectio A. Mathematica.,  45 (1991), 21--27.

Papers under construction:

• Y. M. Chiang and Guofu Yu, "On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations of Biconfluent Heun Equation",
• Y. M. Chiang and K.W. Yu "On asymptotic of zeros of Lommel functions"
• Y. M. Chiang and Guofu Yu, "On complex oscillation theory, affine Weyl gourp and Fredholm Integral Equations of Biconfluent Heun Equation",
• Y. M. Chiang and S. J. Feng "Nevanlinna theory based on Askey-Wilson divided difference operator"
• Y. M. Chiang and Kam-Hang Cheng, "Nevanlinna theory based on Wilson divided difference operator"
• Y. M. Chiang, R. H. Halburd and E. Lingham "Malmquist-type theorems for the Painleve equations"
• Y. M. Chiang and M. E. H. Ismail, "Lommel polynomials for confluent hypergeometric equations"