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Recent Progress in Special Functions
 
Edited by: Galina Filipuk University of Warsaw, Warsaw, Poland
Softcover ISBN:  978-1-4704-7429-4
Product Code:  CONM/807
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7722-6
Product Code:  CONM/807.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7429-4
eBook: ISBN:  978-1-4704-7722-6
Product Code:  CONM/807.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
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Recent Progress in Special Functions
Edited by: Galina Filipuk University of Warsaw, Warsaw, Poland
Softcover ISBN:  978-1-4704-7429-4
Product Code:  CONM/807
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7722-6
Product Code:  CONM/807.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7429-4
eBook ISBN:  978-1-4704-7722-6
Product Code:  CONM/807.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 8072024; 233 pp
    MSC: Primary 15; 33; 30; 34; 37; 42

    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 Painlevé 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.

    Readership

    Graduate students and research mathematicians interested in special functions, integrable systems, and differential equations.

  • Table of Contents
     
     
    • Articles
    • Amílcar Branquinho, Ana Foulquié-Moreno and Manuel Mañas — Banded matrices and their orthogonality
    • M. M. Castro, A. Foulquié-Moreno and A. Fradi — Time-and-band limiting for matrix-valued orthogonal polynomials related with $2\times 2$ hypergeometric operators
    • Yang Chen and Shulin Lyu — Gaussian unitary ensembles with jump discontinuities, PDEs, and the coupled Painlevé IV system
    • Ewa Ciechanowicz — Properties of meromorphic solutions of certain equations via Nevanlinna theory
    • Nicholas Ercolani, Joceline Lega and Brandon Tippings — Map enumeration from a dynamical perspective
    • Sean Gasiorek and Milena Radnović — Periodic trajectories and topology of the integrable Boltzmann system
    • P. R. Gordoa and A. Pickering — Higher-order nonlinear special functions: Painlevé hierarchies, a survey
    • Xing Li and Da-jun Zhang — The Lamé functions and elliptic soliton solutions: Bilinear approach
    • Egmont Porten and Cornelia Schiebold — From the operator KP equation to scalar and matrix-valued solutions
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 8072024; 233 pp
MSC: Primary 15; 33; 30; 34; 37; 42

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 Painlevé 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.

Readership

Graduate students and research mathematicians interested in special functions, integrable systems, and differential equations.

  • Articles
  • Amílcar Branquinho, Ana Foulquié-Moreno and Manuel Mañas — Banded matrices and their orthogonality
  • M. M. Castro, A. Foulquié-Moreno and A. Fradi — Time-and-band limiting for matrix-valued orthogonal polynomials related with $2\times 2$ hypergeometric operators
  • Yang Chen and Shulin Lyu — Gaussian unitary ensembles with jump discontinuities, PDEs, and the coupled Painlevé IV system
  • Ewa Ciechanowicz — Properties of meromorphic solutions of certain equations via Nevanlinna theory
  • Nicholas Ercolani, Joceline Lega and Brandon Tippings — Map enumeration from a dynamical perspective
  • Sean Gasiorek and Milena Radnović — Periodic trajectories and topology of the integrable Boltzmann system
  • P. R. Gordoa and A. Pickering — Higher-order nonlinear special functions: Painlevé hierarchies, a survey
  • Xing Li and Da-jun Zhang — The Lamé functions and elliptic soliton solutions: Bilinear approach
  • Egmont Porten and Cornelia Schiebold — From the operator KP equation to scalar and matrix-valued solutions
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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