Picard-type theorem and the solutions of certain ODE and PDE

Picard’s theorem is among the most striking results in complex analysis and plays a decisive role in the development of the theory of entire and meromorphic functions. In this paper, we give an equivalence between Picard’s theorem and entire solutions of (i) difference equation Δ η f + a ( z ) P ( f...

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Veröffentlicht in:	Complex Analysis and its Synergies 2024-09, Vol.10 (3), Article 14
Hauptverfasser:	Haldar, Goutam, Ahamed, Molla Basir
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Analysis Difference equations Differential equations Dynamical Systems and Ergodic Theory Functional Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Meromorphic functions Partial Differential Equations Theorems
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