Mushtaq Ahmad

The Laplace transform and the Soham transform are different types of integral transforms. The Laplace transform is widely used and defined by L{f(t)}=∫0∞f(t)e−st dt\mathcal{L}\{f(t)\} = \int_0^\infty f(t) e^{-st} \, dtL{f(t)}=∫0∞​f(t)e−stdt. The Soham transform is less known, and without its specific definition, it's unclear if there's a direct connection. To determine if the Laplace transform is a special case of the Soham transform, the exact definition of the Soham transform is needed.

There isn't enough research yet to determine if the Soham transform is a special case of the Laplace transform or if there's a deeper mathematical connection between them.

Since the Soham transform is new, it's too early to say if it will become as widely used as the Laplace transform. However, it's an interesting development in the field of integral transforms.