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Softcover ISBN:  9781470466046 
Product Code:  CONM/782 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470472092 
Product Code:  CONM/782.E 
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MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470466046 
eBook ISBN:  9781470472092 
Product Code:  CONM/782.B 
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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.

Table of Contents

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 — RiemannLiouville transform and linear differential equations on the Riemann sphere

Mattia Cafasso and Sofia Tarricone — The RiemannHilbert 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 initialvalue 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 integrodifferential 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


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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 — RiemannLiouville transform and linear differential equations on the Riemann sphere

Mattia Cafasso and Sofia Tarricone — The RiemannHilbert 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 initialvalue 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 integrodifferential 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