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| List Price: | $130.00 |
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Book DetailsContemporary MathematicsVolume: 782; 2023; 228 ppMSC: Primary 30; 34; 35; 37; 39
This volume contains the proceedings of the conference on Formal and Analytic Solutions of Diff. Equations, held from June 28–July 2, 2021, and hosted by University of Alcalá, Alcalá de Henares, Spain.
The manuscripts cover recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, \(q\)-difference equations, partial differential equations, moment differential equations, etc. Also discussed are related topics such as summability of formal solutions and the asymptotic study of their solutions.
The volume is intended not only for researchers in this field of knowledge but also for students who aim to acquire new techniques and learn recent results.
ReadershipGraduate students and research mathematicians interested in equations in complex domain.
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Table of Contents
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Articles
-
Alexander D. Bruno — Normal forms of a polynomial ODE
-
Alexander B. Batkhin — Computation of homological equations for Hamiltonian normal form
-
Ewa Ciechanowicz — A note on value distribution of solutions of certain second order ODEs
-
Galina Filipuk, Adam Ligȩza and Alexander Stokes — Relations between different Hamiltonian forms of the third Painlevé equation
-
Takashi Aoki and Shofu Uchida — Degeneration structure of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter
-
Toshio Oshima — Riemann-Liouville transform and linear differential equations on the Riemann sphere
-
Mattia Cafasso and Sofia Tarricone — The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
-
Yang Chen, Galina Filipuk and Maria das Neves Rebocho — A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight
-
Shoko Sasaki, Shun Takagi and Kouichi Takemura — $q$-Heun equation and initial-value space of $q$-Painlevé equation
-
Hiroshi Ogawara — Differential transcendence of solutions for $q$-difference equation of Ramanujan function
-
Changgui Zhang — On the positive powers of $q$-analogs of Euler series
-
Maria Suwińska — Summability of formal solutions for a family of linear moment integro-differential equations
-
Hidetoshi Tahara — Uniqueness of the solution of some nonlinear singular partial differential equations of the second order
-
Masafumi Yoshino — Solution with movable singular points of some Hamiltonian system
-
Alberto Lastra, Sławomir Michalik and Maria Suwińska — Some notes on moment partial differential equations. Application to fractional functional equations
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains the proceedings of the conference on Formal and Analytic Solutions of Diff. Equations, held from June 28–July 2, 2021, and hosted by University of Alcalá, Alcalá de Henares, Spain.
The manuscripts cover recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, \(q\)-difference equations, partial differential equations, moment differential equations, etc. Also discussed are related topics such as summability of formal solutions and the asymptotic study of their solutions.
The volume is intended not only for researchers in this field of knowledge but also for students who aim to acquire new techniques and learn recent results.
Graduate students and research mathematicians interested in equations in complex domain.
-
Articles
-
Alexander D. Bruno — Normal forms of a polynomial ODE
-
Alexander B. Batkhin — Computation of homological equations for Hamiltonian normal form
-
Ewa Ciechanowicz — A note on value distribution of solutions of certain second order ODEs
-
Galina Filipuk, Adam Ligȩza and Alexander Stokes — Relations between different Hamiltonian forms of the third Painlevé equation
-
Takashi Aoki and Shofu Uchida — Degeneration structure of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter
-
Toshio Oshima — Riemann-Liouville transform and linear differential equations on the Riemann sphere
-
Mattia Cafasso and Sofia Tarricone — The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
-
Yang Chen, Galina Filipuk and Maria das Neves Rebocho — A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight
-
Shoko Sasaki, Shun Takagi and Kouichi Takemura — $q$-Heun equation and initial-value space of $q$-Painlevé equation
-
Hiroshi Ogawara — Differential transcendence of solutions for $q$-difference equation of Ramanujan function
-
Changgui Zhang — On the positive powers of $q$-analogs of Euler series
-
Maria Suwińska — Summability of formal solutions for a family of linear moment integro-differential equations
-
Hidetoshi Tahara — Uniqueness of the solution of some nonlinear singular partial differential equations of the second order
-
Masafumi Yoshino — Solution with movable singular points of some Hamiltonian system
-
Alberto Lastra, Sławomir Michalik and Maria Suwińska — Some notes on moment partial differential equations. Application to fractional functional equations
