SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN'S FORMULA

Öz

In this paper, we first give two new definitions for q-analytic functions. We also define a new line q-integral. Finally, using these q-integrals we obtain a version of complex q-Green's formula.

Anahtar Kelimeler

• q-differential
• q-integral
• q-analytic functions

Kaynakça

1. Ernst T., A Comprehensive Treatment of q-Calculus, Springer Basel, (2012).
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3. Harman C. J., Discrete geometric function theory II, Applicable analysis, 9(3)(1979), 191–203.
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5. Koca K., Genctürk İ. and Aydin M., Complex Line q-Integrals and q-Green?s Formula on the Plane, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), LXIV f.1 (2018), 27-45.
6. Koca K., Genctürk İ. and Aydin M., q-Green’s formula on the complex plane in the sense of Harman, Creat. Math. Inform., 26(3)(2017), 309–320.