We study a one-dimensional non-Hermitian Stark chain with nonreciprocal, linearly graded hopping. A diagonal similarity transformation eliminates the bond asymmetry and changes the usual exponential skin factor into an algebraic accumulation, $d_j\sim j^{\eta }$, with $\eta =\gamma /F_2$. At fixed spectral energy, the characteristic roots of the transformed recurrence become nonunimodular at $|F_1|=2|F_2|$. The next order in $1/j$ supplies an energy-dependent factor $j^{s(E,r)}$ for nondegenerate roots. At root coalescence, the generic fixed-energy envelope is of Bessel or modified-Bessel type, while a fine-tuned energy gives a separate algebraic branch. The edge polarization turns over near the root threshold, and the selective inverse participation ratio rises on the Stark-localized side. For a charge-density-wave quench at nonzero nonreciprocity, the normalized right-state half-chain entropy, averaged over $t\in [6,8]$, is largest at $F_1/F_2=2$ among the representative ratios 1, 2, and 3. For this site-diagonal quench, the biorthogonal spectrum removes the explicit diagonal skin factor and follows the transformed symmetric dynamics. The model therefore separates the exact gauge dressing, the controlled large-position asymptotics, and the finite-size dynamical signatures of Stark localization.

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• Competition
• Dynamical localization
• Entanglement entropy
• Skin effect
• Non-Hermitian systems