TY  - JOUR
AU  - Yildiz, Ismet 
AU  - Uyanik, Neslihan 
PY  - 2005
TI  - On the Elliptic Function Arising from the Theta Functions and Dedekind's η-Function
JF  - Journal of Mathematics and Statistics
VL  - 1
IS  - 2
DO  - 10.3844/jmssp.2005.153.159
UR  - https://thescipub.com/abstract/jmssp.2005.153.159
AB  - It's a reality that there is a relationship between the sigma function of Weierstrass and theta functions. An elliptic function can be set up using the theta functions just as it can be astablished with the help of sigma function of Weierstrass and two relations between the Dedekind's h-function and - theta function were established by the using characteristic values  (mod2) for θ-function according to the (u,τ) pair and u,τ complex numbers, satisfying Im τ>0. In this study, the transformations among the theta functions according to the quarter periods have been given and a Jacobian style elliptic functions has been set up the theta function by the help of a defined function.