Light deflection angle by generalized Dymnikova black hole

The gravitational lensing caused by a generalized Dymnikova black hole in weak field conditions is examined in this work. The optical geometry of such a black hole is first examined, and then the Gauss-Bonnet theorem is used to calculate the deflection angle in weak field limitations. Moreover, the effect of black hole mass, the parameters A and n on the deflection angle in leading order terms are probed. Otherwise, we explore the implication of the plasma medium on the weak deflection angle behavior.