Yik‐Man Chiang

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All published works

Action	Title	Year	Authors
+	Holonomic Bessel modules and generating functions	2023	Yik‐Man Chiang Avery Ching Xiaoli Lin
+ PDF Chat	D-module approach to Liouville's Theorem for difference operators	2022	Kam Hang Cheng Yik‐Man Chiang Avery Ching
+	Series solutions of linear ODEs by Newton-Raphson method on quotient $D$-modules	2021	Yik‐Man Chiang Avery Ching Chiu Yin Tsang
+ PDF Chat	Series solutions of linear ODEs by Newton-Raphson method on quotient $D$-modules	2021	Yik‐Man Chiang Avery Ching Chiu Yin Tsang
+ PDF Chat	Resolving Singularities and Monodromy Reduction of Fuchsian Connections	2021	Yik‐Man Chiang Avery Ching Chiu-Yin Tsang
+ PDF Chat	Wiman–Valiron Theory for a Polynomial Series Based on the Askey–Wilson Operator	2021	Kam Hang Cheng Yik‐Man Chiang
+	Series solutions of linear ODEs by Newton-Raphson method on quotient $D$-modules	2021	Yik‐Man Chiang Avery Ching Chiu Yin Tsang
+	D-module approach to Liouville's Theorem for difference operators	2021	Kam Hang Cheng Yik‐Man Chiang Avery Ching
+	Wiman-Valiron theory for a polynomial series based on the Askey-Wilson operator	2020	Kam Hang Cheng Yik‐Man Chiang
+	Invariant subspaces of biconfluent Heun operators and special solutions of Painlevé IV	2019	Yik‐Man Chiang Chun‐Kong Law Guo‐Fu Yu
+ PDF Chat	Galoisian approach to complex oscillation theory of some Hill equations	2019	Yik‐Man Chiang Guo‐Fu Yu
+	Solutions of Darboux Equations, its Degeneration and Painlevé VI Equations	2019	Yik‐Man Chiang Avery Ching Chiu-Yin Tsang
+	Invariant subspaces of biconfluent Heun operators and special solutions of Painlevé IV	2019	Yik‐Man Chiang Chun‐Kong Law Guo‐Fu Yu
+ PDF Chat	Nevanlinna theory of the Askey–Wilson divided difference operator	2018	Yik‐Man Chiang Shaoji Feng
+ PDF Chat	Difference Nevanlinna theories with vanishing and infinite periods	2017	Yik‐Man Chiang Xu‐Dan Luo
+	Nevanlinna theory of the Wilson divided-difference operator	2017	Kam Hang Cheng Yik‐Man Chiang
+ PDF Chat	On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman–Valiron Estimate	2016	Yik‐Man Chiang Shaoji Feng
+	Galoisian approach to complex oscillation theory of some Hill equations	2016	Yik‐Man Chiang Guo‐Fu Yu
+	A Galoisian Approach to Complex Oscillation Theory	2016	Yik‐Man Chiang Guo‐Fu Yu
+	Complex Oscillation Theory and Semi-finite Gap Problems	2016	Xu‐Dan Luo Yik‐Man Chiang
+	Galoisian Approach to Complex Oscillation of Hill's Eqauations	2016	Guo‐Fu Yu Yik‐Man Chiang
+	Symmetries of the Darboux equation	2015	Yik‐Man Chiang Chiu Yin Tsang Avery Ching
+	Two integrable differential-difference equations derived from NLS-type equation	2015	Zong‐Wei Xu Guo‐Fu Yu Yik‐Man Chiang
+	Symmetries of the Darboux equation	2015	Yik‐Man Chiang Avery Ching Chiu-Yin Tsang
+	Difference Nevanlinna theories with vanishing and infinite periods	2015	Yik‐Man Chiang Xu‐Dan Luo
+	Nevanlinna theory of the Askey-Wilson divided difference operator	2015	Yik‐Man Chiang Shaoji Feng
+	Estimates on the Growth of Meromorphic Solutions of Linear Differential Equations with density conditions	2013	Yik‐Man Chiang
+	Estimates on the growth of meromorphic solutions of linear differential equations with density conditions	2013	Yik‐Man Chiang
+	On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations	2013	Yik‐Man Chiang Guo‐Fu Yu
+	Estimates on the Growth of Meromorphic Solutions of Linear Differential Equations with density conditions	2013	Yik‐Man Chiang
+	On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions	2012	Yik‐Man Chiang Kit-Wing yu
+	Subnormal solutions of non-homogeneous periodic ODEs, special functions and related polynomials	2010	Yik‐Man Chiang Kit-Wing Yu
+ PDF Chat	Erratum to: On Value Distribution Theory of Second Order Periodic ODEs, Special Functions and Orthogonal Polynomials	2010	Yik‐Man Chiang Mourad E. H. Ismail
+	On complex oscillation, function-theoretic quantization of non-homogeneous periodic ODEs and special functions	2010	Yik‐Man Chiang Kit-Wing Yu
+	Eigen-solutions of Biconfluent Heun equation with respect to a complex weight	2010	Yik‐Man Chiang
+ PDF Chat	On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions	2009	Yik‐Man Chiang Shaoji Feng
+	On subnormal solutions of periodic non-homogeneous linear differential equations, special functions and special polynomials	2009	Yik‐Man Chiang Kit-Wing Yu
+	A q-deformation of Nevanlinna Theory	2009	Yik‐Man Chiang
+	A q-deformation of classical Nevanlinna theory	2009	Yik‐Man Chiang
+ PDF Chat	On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane	2008	Yik‐Man Chiang Shaoji Feng
+	Malmquist-type theorems for second-order ODEs	2008	Yik‐Man Chiang
+	On the Nevanlinna Order of Lommel, Struve Functions and Complex Differential Equations	2007	Yik‐Man Chiang
+	On The Nevanlinna Order Of Lommel And Struve Functions And Complex Differential Equations	2007	Yik‐Man Chiang
+	On the Nevanlinna characteristic of f(z+\eta) and difference equations in the complex plane	2006	Yik‐Man Chiang Shaoji Feng
+ PDF Chat	On Value Distribution Theory of Second Order Periodic ODEs, Special Functions and Orthogonal Polynomials	2006	Yik‐Man Chiang Mourad E. H. Ismail
+	On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations	2006	Yik‐Man Chiang S. N. M. Ruijsenaars
+	Estimates of difference operators in the complex plane	2006	Yik‐Man Chiang
+	Structural results of orthogonal polynomials that generalize Lommel's polynomials	2006	Yik‐Man Chiang
+	On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions	2006	Yik‐Man Chiang Shaoji Feng
+ PDF Chat	Difference independence of the Riemann zeta function	2006	Yik‐Man Chiang Shaoji Feng
+	On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane	2006	Yik‐Man Chiang Sze-Shiang Feng
+	Some Nevanlinna-type estimates related to discrete equations	2005	Yik‐Man Chiang Sheng-Ya Feng
+	On the growth of entire solutions to some difference equations	2005	Yik‐Man Chiang Sheng-Ya Feng
+ PDF Chat	Estimates on the growth of meromorphic solutions of linear differential equations	2004	Yik‐Man Chiang W. K. Hayman
+	On The Location of Complex Zeros of Bessel Functions and Complex Oscillation Theory	2004	Yik‐Man Chiang Mourad E.M. Ismail
+	On the meromorphic solutions of an equation of Hayman	2003	Yik‐Man Chiang Rod Halburd
+	Complex oscillation theory and special functions	2002	Yik‐Man Chiang Mourad E. H. Ismail
+	On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results	2002	Yik‐Man Chiang Gao Shian
+	On Value Distribution Theory, Complex Oscillation of Differential Equations and Special Functions	2001	Yik‐Man Chiang
+	On Value Distribution Theory, Complex Oscillation of Differential Equations and Bessel polynomials	2001	Yik‐Man Chiang
+	On The Zero-Free Solutions of Linear Periodic Differential Equations In The Complex Plane	2000	Yik‐Man Chiang
+	Some oscillation results for linear differential equations in the complex plane	1998	Yik‐Man Chiang Ilpo Laine
+ PDF Chat	Some oscillation results for linear differential equations in the complex plane	1998	Yik‐Man Chiang Ilpo Laine
+	Oscillation Results of Certain Higher Order Linear Differential Equations with Periodic Coefficients in the Complex Plane	1997	Yik‐Man Chiang Shupei Wang
+	An oscillation result of a third order linear differential equation with entire periodic coefficients	1997	Yik‐Man Chiang Ilpo Laine Shupei Wang
+ PDF Chat	Oscillation Results for Some Linear Differential Equations.	1995	Yik‐Man Chiang Ilpo Laine Si Wang
+	On the Complex Oscillation of <i>y</i>″ + (<i>e</i><sup><i>z</i></sup> — <i>K</i>)<i>y</i> = 0 and a Result of Bank, Laine and Langley	1995	Yik‐Man Chiang
+ PDF Chat	Oscillation results on <i>y</i>″ + <i>Ay</i> = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies	1995	Yik‐Man Chiang
+	On the complex oscillation of y′′ + (ez − K)y = 0 and a result of Bank	1995	Yik‐Man Chiang
+	Properties of analytic functions with small schwarzian derivative	1994	Yik‐Man Chiang
+	Some properties of analytic functions with small schwarzian	1994	Yik‐Man Chiang
+	Some remarks on Lehto's domain constant	1992	Yik‐Man Chiang
+	On a subclass of strongly gamma-starlike functions and quasiconformal extensions	1991	Yik‐Man Chiang

Common Coauthors

Coauthor	Papers Together
Avery Ching	10
Shaoji Feng	8
Guo‐Fu Yu	8
Kam Hang Cheng	5
Chiu Yin Tsang	4
Ilpo Laine	4
Kit-Wing Yu	3
Xu‐Dan Luo	3
Mourad E. H. Ismail	3
Chiu-Yin Tsang	3
Shupei Wang	2
Chun‐Kong Law	2
Sheng-Ya Feng	2
Kit-Wing yu	1
Gao Shian	1
W. K. Hayman	1
Mourad E.M. Ismail	1
S. N. M. Ruijsenaars	1
Zong‐Wei Xu	1
Xiaoli Lin	1
Si Wang	1
Sze-Shiang Feng	1
Rod Halburd	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Nevanlinna Theory and Complex Differential Equations	1993	Ilpo Laine	20
+	On the Frequency of Zeros of Solutions of Second Order Linear Differential Equations	1986	Steven B. Bank Ilpo Laine J. K. Langley	11
+	Representations of solutions of periodic second order linear differential equations.	1983	Ilpo Laine Steven B. Bank	10
+	Oscillation results for solutions of linear differential equations in the complex domain	1989	Steven B. Bank Ilpo Laine J. K. Langley	9
+	Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations	2005	Rod Halburd Risto Korhonen	9
+ PDF Chat	On the extension of the Painlevé property to difference equations	2000	Mark J. Ablowitz R. G. Halburd B. M. Herbst	9
+ PDF Chat	On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane	2008	Yik‐Man Chiang Shaoji Feng	8
+ PDF Chat	Finite-order meromorphic solutions and the discrete Painlevé equations	2006	Rod Halburd Risto Korhonen	8
+	Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates	1988	Gary G. Gundersen	8
+ PDF Chat	On the Oscillation Theory of f � � + Af = 0 where A is Entire	1982	Steven B. Bank Ilpo Laine	8
+	Meromorphic Functions	2019	W. K. Hayman Eleanor F. Lingham	7
+	Nevanlinna theory for the difference operator	2005	Rod Halburd Risto Korhonen	7
+	Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen	1985	Gerhard Jank Lutz Volkmann	6
+	Distribution of Zeros of Entire Functions	1964	Б. В. Левин	6
+	MEROMORPHIC FUNCTIONS	1964	J. Clunie	6
+	On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations	2006	Yik‐Man Chiang S. N. M. Ruijsenaars	6
+	On the explicit determination of certain solutions of periodic differential equations	1993	Steven B. Bank	6
+	Zeros of Solutions of a Functional Equation	2004	Walter Bergweiler Walter K. Haymana	5
+ PDF Chat	On Value Distribution Theory of Second Order Periodic ODEs, Special Functions and Orthogonal Polynomials	2006	Yik‐Man Chiang Mourad E. H. Ismail	5
+ PDF Chat	Zeros of differences of meromorphic functions	2007	Walter Bergweiler J. K. Langley	5
+	Painlevé Differential Equations in the Complex Plane	2002	Valerii I. Gromak Ilpo Laine Shun Shimomura	5
+ PDF Chat	A further result on the complex oscillation theory of periodic second order linear differential equations	1990	Gao Shian	5
+ PDF Chat	Wiman-Valiron method for difference equations	2004	Katsuya Ishizaki Niro Yanagihara	5
+ PDF Chat	The Local Growth of Power Series: A Survey of the Wiman-Valiron Method	1974	W. K. Hayman	5
+ PDF Chat	Sur les systèmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications	1928	Henri Cartan	5
+ PDF Chat	On the oscillation of solutions of certain linear differential equations in the complex domain	1987	Steven B. Bank J. K. Langley	5
+ PDF Chat	Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations	2007	R. G. Halburd Risto Korhonen	5
+	Meromorphic solutions of some linear functional equations	2000	Janne Heittokangas Ilpo Laine J. Rieppo D. Yang	5
+	Ordinary differential equations in the complex domain	1976	Einar Hille	5
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	5
+ PDF Chat	About the growth of entire functions solutions of linear algebraic $q$-difference equations	1992	Jean-Pierre Ramis	5
+ PDF Chat	First order analytic difference equations and integrable quantum systems	1997	S. N. M. Ruijsenaars	5
+	Growth of meromorphic solutions of some functional equations I	2002	Walter Bergweiler Katsuya Ishizaki Niro Yanagihara	5
+ PDF Chat	On the oscillation theory of $f\sp{\prime\prime}+Af=0$ where $A$ is entire	1982	Steven B. Bank Ilpo Laine	4
+	Computational Aspects of Three-Term Recurrence Relations	1967	Walter Gautschi	4
+	On The Zero-Free Solutions of Linear Periodic Differential Equations In The Complex Plane	2000	Yik‐Man Chiang	4
+	Asymptotics and Special Functions	1997	F. W. J. Olver	4
+	Subnormal Solutions of Second Order Linear Differential Equations With Periodic Coefficients	1994	Gary G. Gundersen Enid M. Steinbart	4
+	Complex Difference Equations of Malmquist Type	2001	Janne Heittokangas Risto Korhonen Ilpo Laine J. Rieppo Kazuya Tohge	4
+ PDF Chat	On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions	2009	Yik‐Man Chiang Shaoji Feng	4
+	The Fuchsian equation of second order with four singularities	1942	A. Erdélyi	4
+ PDF Chat	Meromorphic solutions of some functional equations	1998	Walter Bergweiler Katsuya Ishizaki Niro Yanagihara	4
+	Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials	1985	Richard Askey James Wilson	4
+	Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III	1981	Michio Jimbo Tetsuji Miwa	4
+	Classical and Quantum Orthogonal Polynomials in One Variable	2005	Mourad E. H. Ismail	4
+	The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement	2003	A. Ramani B. Grammaticos T. Tamizhmani K. M. Tamizhmani	3
+	An oscillation result of a third order linear differential equation with entire periodic coefficients	1997	Yik‐Man Chiang Ilpo Laine Shupei Wang	3
+ PDF Chat	Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations	2007	David C. Barnett R. G. Halburd Will Morgan Risto Korhonen	3
+ PDF Chat	On the growth of solutions of algebraic differential equations	1978	Steven B. Bank	3
+	q-Taylor theorems, polynomial expansions, and interpolation of entire functions	2003	Mourad E. H. Ismail Dennis Stanton	3