Recent Progress in Special Functions

Häftad, Engelska, 2025

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Beskrivning

This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory. Linear classical special functions, such as hypergeometric functions, Heun functions, and various orthogonal polynomials and nonlinear special functions (e.g., the Painleve transcendents and their generalizations), are studied from different perspectives. This volume serves as a useful reference for a large audience of mathematicians and mathematical physicists interested in modern theory of special functions. It is suitable for both graduate students and specialists in the field.

Produktinformation

Utgivningsdatum:2025-02-28
Mått:178 x 254 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Contemporary Mathematics
Antal sidor:229
Förlag:American Mathematical Society
ISBN:9781470474294

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Galina Filipuk, University of Warsaw, Poland

Innehållsförteckning

Amilcar Branquinho, Ana Foulquie-Moreno, and Manuel Manas, Banded matrices and their orthogonalityM. M. Castro, A. Foulquie-Moreno, and A. Fradi, Time-and-band limiting for matrix-valued orthogonal polynomials related with 2 x 2 hypergeometric operatorsYang Chen and Shulin Lyu, Gaussian unitary ensembles with jump discontinuities, PDEs, and the coupled Painleve IV systemEwa Ciechanowicz, Properties of meromorphic solutions of certain equations via Nevanlinna theoryNicholas Ercolani, Joceline Lega, and Brandon Tippings, Map enumeration from a dynamical perspectiveSean Gasiorek and Milena Radnovic, Periodic trajectories and topology of the integrable Boltzmann systemP. R. Gordoa and A. Pickering, Higher-order nonlinear special functions: Painleve hierarchies, a surveyXing Li and Da-jun Zhang, The Lame functions and elliptic soliton solutions: Bilinear approachEgmont Porten and Cornelia Schiebold, From the operator KP equation to scalar and matrix-valued solutions