Transformations of the theta functions for periods 1/(2^{r}) and established elliptic functions

That Theta Function Identities consist of three part. First part includes about the study and it?s informed. And given definitons using in study. Second part given definition of Theta Function and q-Notation. Theta Function with Three Term Identities was obtained. Given summation formula for Weierstrass Pe-elliptic Function was obtained. In third part Transformations of the theta functions for the period pairs (?/(2^{r});??/(2^{r}) was obtained.