Laguerre entire functions and the Lee-Yang property.

DOI10.1016/S0096-3003(02)00324-7zbMath1036.82006OpenAlexW1991248902MaRDI QIDQ1408300

Yuri V. Kozitskij

Publication date: 15 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00324-7

zbMATH Keywords

Cauchy problemExponential type entire functionsLaguerre entire functionsNonpositive zeros

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of hypergeometric functions (33C90) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

Lee-Yang zeros and two-time spin correlation function ⋮ Gibbs states of interacting systems of quantum anharmonic oscillators ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators

Cites Work

• A note on the Lee-Yang theorem
• Fonctions différentiables invariantes sous l'opération d'un groupe réductif
• A generalization of the Lee-Yang theorem
• Hierarchical ferromagnetic vector spin model possessing the Lee-Yang property. Thermodynamic limit at the critical point and above
• Hierarchical model of a vector ferromagnet. Selfsimilar block-spin distributions and the Lee-Yang theorem
• Distribution of Zeros of the Partition Function in the First and Second Order Phase Transitions: Extension of the Lee-Yang Theorem
• Laguerre entire functions and related locally convex spaces
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item