The book is divided into five parts. The first part contains the literature about the development of Toeplitz operator. The second part contains all the fundamental information regarding development and properties of Slant Toeplitz operators. The third part contains the development of Slant Hankel operator and the relation between Slant Hankel operator and Slant Toeplitz operator.The fourth part contains the spectrum, spectral radius of Slant Hankel operators. The fifth part includes the development of another version of the Slant Hankel operators. It also contains some properties of Slant Hankel operators