Normality Criterion Concerning Total Derivatives of Holomorphic Functions in \( {\mathbb {C}}^n \)

This paper continues investigation of conditions involving values shared by holomorphic functions and their total derivatives which imply the normality for a family of holomorphic functions concerning the total derivatives in \( {\mathbb {C}}^n \) ${\mathbb{C}}^n$ . Consequently, we obtain normality criterion of a family \( {\mathcal {F}} \) $\mathcal{F}$ of holomorphic functions f, where each function shares complex values with their linear total differential polynomials \( L_D^k(f) \) $L_D^k(f)$ in \( {\mathbb {C}}^n \) ${\mathbb{C}}^n$ .