Hyponormality and quasinormality of unbounded Toeplitz operators with non harmonic symbol on the Fock Sobolev space

In this paper, we establish the essential criteria for the hyponormality and quasinormality of the unbounded Toeplitz operator $T_{\phi }$ with non-harmonic symbol, acting on the Fock-Sobolev space $F^{2,m}(\mathbb{C})$. The study shows that quasinormality does not inherently imply hyponormality of unbounded Toeplitz operator with non-harmonic symbols.