%0 Journal Article %T (Application of the operator 3Ф2 (a,b,c, q, ƒƟ) d,e %J Journal of Garmian University %I زانکۆی گەرمیان %Z 23100087 %A Jaber, Rasha H. %A Saas, Husam L. %D 2019 %\ 04/01/2019 %V 6 %N SCAPAS Conferance %P 189-177 %! (Application of the operator 3Ф2 (a,b,c, q, ƒƟ) d,e %K the q-exponential operator %K Euler identity %K Ramanujan’s sum %K q-Chu-Vanermonde summation %K the Askey beta integral %K Ramanujan’s identity %K Ramanujan’s beta integral %R 10.24271/jgu.2019.99704 %X In this paper, we construct the -exponential operator. We use the operator to obtain an extension of Euler identities, Ramanujan’s sum, -Chu- Vanermonde summation formula and we give some other identities. Also we use the operator to get an extension of the Ramanujan’s identity, the Askey beta integral, Ramanujan’s beta integral and we give some other integrals formulas.     %U https://jgu.garmian.edu.krd/article_99704_a6937c5101a5c22623be646cef77b26b.pdf