Meromorphous solutions of algebraic differential equations in angular regions

• Дата: 1992
• Автори: Mokhonko , A. Z., Мохонько , А. З.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/7893
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain asymptotic estimates of meromorphic solutions to the differential equation Pn(z, w, wʹ) =Pn-1(z, w, wʹ,...,wm) in the angular domain Р={z: α ≤ argz ≤ β}. Here Pn(z, w, wʹ) is a polynomial in all variables, and of degree n with respect to w and w′; Pn-1(z, w, wʹ,...,wm) is a polynomial in a...