Uniqueness and zeros of \(q\)-shift difference polynomials

DOI10.1007/s12044-011-0038-3zbMath1277.30019OpenAlexW2057462664MaRDI QIDQ354010

Xin-Ling Liu, Ting-Bin Cao, Kai Liu

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-011-0038-3

zbMATH Keywords

uniquenessmeromorphic function\(q\)-shiftdifference polynomialzero order

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (7)

Some further \(q\)-shift difference results on Hayman conjecture ⋮ Unnamed Item ⋮ Results on certain types of \(q\)-shift difference polynomials ⋮ Zeros and uniqueness of \(Q\)-difference polynomials of meromorphic functions with zero order ⋮ Unnamed Item ⋮ Sharing values of \(q\)-difference-differential polynomials ⋮ Zeros and shared one value of \(q\)-shift difference polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Picard values of meromorphic functions and their derivatives
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value distribution of difference polynomials
• Value distribution and shared sets of differences of meromorphic functions
• On the Nevanlinna characteristic of \(f(qz)\) and its applications
• Value distribution of the difference operator
• Über ein Problem von Hayman
• On the singularities of the inverse to a meromorphic function of finite order
• The value distribution of \(f^ n f'\)
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Meromorphic solutions of q-shift difference equations
• Value distribution and uniqueness of difference polynomials and entire solutions of difference equations
• Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
• Yosida functions and Picard values of integral functions and their derivatives
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations
• Value distribution of differences of meromorphic functions

This page was built for publication: Uniqueness and zeros of \(q\)-shift difference polynomials