On certain non-linear differential monomial sharing non-zero polynomial

• Datum: 2021
• Hauptverfasser: Majumder, S., Dam, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/99
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 With the idea of normal family we study the uniqueness of meromorphic functions $f$ and $g$ when $f^{n}(\mathcal{L}(f))^{m}-p$ and $g^{n}(\mathcal{L}(g))^{m}-p$ share two values, where $\mathcal{L}(f)= a_{k}f^{(k)}+a_{k-1} f^{(k-1)}+\ldots+a_{1} f'+a_{0}f...