Meromorphous solutions of algebraic differential equations in angular regions

• Datum: 1992
• Hauptverfasser: Mokhonko , A. Z., Мохонько , А. З.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
• Online Zugang: 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...