Wiman-Valiron method for difference equations
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Publication:4652217
DOI10.1017/S0027763000008916zbMath1070.39002OpenAlexW1868317507MaRDI QIDQ4652217
Niro Yanagihara, Katsuya Ishizaki
Publication date: 24 February 2005
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0027763000008916
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Additive difference equations (39A10)
Related Items (43)
Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients ⋮ The growth of difference equations and differential equations ⋮ Unnamed Item ⋮ Some results on difference polynomials sharing values ⋮ The zeros of \(q\)-shift difference polynomials of meromorphic functions ⋮ Some results on \(q\)-difference equations ⋮ Meromorphic solutions of linear difference equations with polynomial coefficients ⋮ A lemma on the difference quotients ⋮ On growth of meromorphic solutions for linear difference equations with meromorphic coefficients ⋮ On zeros and fixed points of differences of meromorphic functions ⋮ Value sharing results for shifts of meromorphic functions ⋮ On difference Riccati equations and second order linear difference equations ⋮ Properties of some difference polynomials ⋮ On finite-order meromorphic solutions of a class containing a difference Painlevé I equation ⋮ Wiman-Valiron theory for a polynomial series based on the Wilson operator ⋮ Value distribution of differences of meromorphic functions ⋮ On the deficiencies of some differential-difference polynomials ⋮ On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations ⋮ On the growth of meromorphic solutions of difference equations ⋮ On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane ⋮ Properties of differences of meromorphic functions ⋮ Wiman-Valiron theory for a polynomial series based on the Askey-Wilson operator ⋮ Binomial series and complex difference equations ⋮ Singular direction and \(q\)-difference operator of meromorphic functions ⋮ Zeros and fixed-points on meromorphic solutions of a certain type of first order difference equation ⋮ Some results on difference Riccati equations ⋮ Growth and zeros of meromorphic solution of some linear difference equations ⋮ On properties of differences polynomials about meromorphic functions ⋮ On the Nevanlinna characteristic of \(f(qz)\) and its applications ⋮ Growth of meromorphic solutions of linear difference equations ⋮ Wiman-Valiron theorem for q-differences ⋮ Meromorphic solutions of certain difference equations of first order ⋮ On the growth of logarithmic difference of meromorphic functions and a Wiman-Valiron estimate ⋮ On Malmquist type theorem of systems of complex difference equations ⋮ The properties of the meromorphic solutions of some difference equations ⋮ On zeros and deficiencies of differences of meromorphic functions ⋮ Meromorphic solutions of some complex non-linear difference equations ⋮ On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions ⋮ Order reduction method for linear difference equations ⋮ Meromorphic solutions of some complex difference equations ⋮ On growth of meromorphic solutions for linear difference equations ⋮ Estimates for the zeros of differences of meromorphic functions ⋮ Admissible solutions of systems of complex partial difference equations on \(\mathbb{C}^{\mathbf{n}}\)
Cites Work
- Unnamed Item
- On the Borel exceptional values of lacunary integral functions
- Growth of meromorphic solutions of some functional equations I
- The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
- The possible orders of solutions of linear differential equations with polynomial coefficients
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