روندهای اخیر در راه‌حل‌های رسمی و تحلیلی معادلات دیفرانسیل: کنفرانس مجازی: راه‌حل‌های رسمی و تحلیلی معادلات دیفرانسیل: ۲۸ ژوئن تا ۲ ژوئیه ۲۰۲۱: دانشگاه آلکالا، آلکالا د هِنارس، اسپانیا

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. Normal forms of a polynomial ODE / Alexander D. Bruno -- Computation of holomorphical equations for Hamiltonian normal form / Alexander B. Batkhin -- A note on value distribution of solutions of certain second order ODEs / Ewa Ciechanowicz -- Relations between different Hamiltonian forms of the third Painleve equation / Galina Filipuk, Adam Ligeza, and Alexander Stokes -- Degeneration structure of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter / Takashi Aoki and Shofu Uchida -- Riemann-Liouville transform and linear differential equations on the Riemann sphere / Toshio Oshima -- The Riemann-Hilbert approach to the generating function of the higher order Airy point processes / Mattia Cafasso and Sofia Tarricone -- A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight / Yang Chen, Galina Filipuk, and Maria das Neves Rebocho -- q-Heun equation and initial-value space of q-Painlevé equation / Shoko Sasaki, Shun Takagi, and Kouichi Takemura -- Differential transcendence of solutions for q-difference equation of Ramanujan function / Hiroshi Ogawara -- On the positive powers of q-analogs of Euler series / Changgui Zhang -- Summability of formal solutions for a family of linear moment integro-differential equations / Maria Suwinska -- Uniqueness of the solution of some nonlinear singular partial differential equations of the second order / Hidetoshi Tahara -- Solution with movable singular points of some Hamiltonian system / Masafumi Yoshino -- Some notes on moment partial differential equations. Application to fractional functional equations / Alberto Lastra, S lawomir Michalik, and Maria Suwinska Covers 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, and moment differential equations.