During the years the investigation of the characteristic function of differential-difference polynomials is a long-cherished phenomenon and the results obtained in this direction can be viewed as a differential-difference analogue of the classical Valiron-Mokhon'ko Theorem (Year)and in this connection, it is necessary to investigate the deficiencies of some homogeneous differential-difference polynomials. Some characteristics of special differential-difference polynomials are also investigated and subsequent results on this topic can be estimated as differential-difference analogues of some...