Estimates of the proximate function of differential polynomials

DOI10.3792/pjaa.83.50zbMath1122.30022OpenAlexW2077794973MaRDI QIDQ2381158

Chung-Chun Yang, Zhuan Ye

Publication date: 25 September 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1177941417

zbMATH Keywords

Nevanlinna theoryPainlevé equationsdifferential polynomial

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (16)

On transcendental meromorphic solutions of certain type of nonlinear algebraic differential equations ⋮ Curriculum Vitae of Chung-Chun Yang ⋮ Some results about a special nonlinear difference equation and uniqueness of difference polynomial ⋮ Value distribution of \(q\)-differences of meromorphic functions in several complex variables ⋮ ON SOLUTIONS TO NONHOMOGENEOUS ALGEBRAIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATION ⋮ Zero distribution of some difference polynomials ⋮ Meromorphic solutions for a class of differential equations and their applications ⋮ A new Clunie type theorem for difference polynomials ⋮ Value distribution of difference polynomials ⋮ Meromorphic solutions to certain class of differential equations in an angular domain ⋮ On analogies between nonlinear difference and differential equations ⋮ Study on the existence of solutions to two specific types of differential-difference equations ⋮ A CLUNIE LEMMA FOR DIFFERENCE AND q-DIFFERENCE POLYNOMIALS ⋮ Logarithmic difference lemma in several complex variables and partial difference equations ⋮ Tropical versions of Clunie and Mohon'ko lemmas ⋮ Meromorphic solutions of a third order nonlinear differential equation

Cites Work

• Value distribution of the Painlevé transcendents
• Exceptional values of differential polynomials
• Estimates for the Nevanlinna characteristics of some classes of meromorphic functions and their applications to differential equations
• On Nevanlinna's second main theorem in projective space
• On Integral and Meromorphic Functions
• Growth of the first, the second and the fourth Painlevé transcendents
• Lower Estimates for the Growth of Painlevé Transcendents
• The first, the second and the fourth Painlevé transcendents are of finite order.
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