Thermodynamics and quantum corrections in Dilaton black holes with modified horizon geometry: A consistency check with Reissner–Nordström–AdS

In this paper, we present a comprehensive analytical study of a four-dimensional dilaton black hole with a deformed angular geometry [Formula: see text], where [Formula: see text], coupled to nonlinear electrodynamics and a Liouville-type potential. The model generalizes standard black hole solutions by incorporating a geometric deformation that modifies the horizon structure and thermodynamic behavior. We derive the field equations and compute the Hawking temperature, classical entropy, and quantum-corrected entropy [Formula: see text] without resorting to numerical methods. The logarithmic correction coefficient c is explicitly evaluated for generic N and special cases [Formula: see text], [Formula: see text], revealing its sensitivity to the dilaton coupling [Formula: see text], charge q, and geometric parameter N. We analyze the limits [Formula: see text] and [Formula: see text], showing that quantum corrections persist even in the absence of electromagnetic or cosmological terms, indicating their origin in the modified geometry. Crucially, we demonstrate that in the limit [Formula: see text], [Formula: see text], [Formula: see text], the solution reduces exactly to the Reissner–Nordström–AdS black hole, with all thermodynamic quantities recovering their standard forms. This confirms the model as a consistent deformation of classical black holes. The results highlight the significant role of geometric and scalar deformations in shaping black hole thermodynamics and quantum properties.