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Properties of meromorphic solutions of \(q\)-difference equations

Electronic Journal of Differential Equations, 2015
Summary: We utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function \(f(z)\) that satisfies some \(q\)-difference equations, which can be seen the \(q\)-difference analogues of Painleve I and II equations. This article extends earlier results by \textit{Z.-X. Chen} and \textit{K. H. Shon} [J.
Xiaoguang Qi, Lianzhong Yang
openaire   +2 more sources

From Quantum Curves to Topological String Partition Functions. [PDF]

Commun Math Phys, 2023
Coman I, Pomoni E, Teschner J.
europepmc   +1 more source

b -Hurwitz numbers from refined topological recursion. [PDF]

Math Ann
Kumar Chidambaram N, Dołęga M, Osuga K.   +2 more
europepmc   +1 more source

Bayesian interpolation with deep linear networks. [PDF]

Proc Natl Acad Sci U S A, 2023
Hanin B, Zlokapa A.
europepmc   +1 more source

On meromorphic solutions of a functional equation, II [PDF]

Annales Polonici Mathematici, 1971
openaire   +2 more sources

Hirota, Fay and geometry. [PDF]

Lett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source

A new approach to integrable evolution equations on the circle. [PDF]

Proc Math Phys Eng Sci, 2021
Fokas AS, Lenells J.
europepmc   +1 more source

The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System. [PDF]

Commun Math Phys
Caudrelier V, Harland D, Singh AA, Vicedo B.   +3 more
europepmc   +1 more source

Functional difference equations and eigenfunctions of a Schrödinger operator with δ' -interaction on a circular conical surface. [PDF]

Proc Math Phys Eng Sci, 2020
Lyalinov MA.
europepmc   +1 more source

Double exponential quadrature for fractional diffusion. [PDF]

Numer Math (Heidelb), 2023
Rieder A.
europepmc   +1 more source