q-Greens’ s formula on the complex plane in the sense of Harman

Koca, Kerim, Gençtürk, İlker and Aydin, Mustafa

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creative_2017_26_3_309_320

DOI: https://doi.org/10.37193/CMI.2017.03.08

Issue no: Vol 26/2017 no. 3 Tags: $q$-integrals, $q$-Green's Formula, $q$-analogue of Cauchy integral formula, $q$-derivatives

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In this work, we proved the $q$ -Green’s identity in the sense of Harman for the discrete functions $f(z),g(z)$ which are defined on the square discrete set $D\subset\mathbb{C}$ . We also presented $q$ -analogue of Cauchy integral formula by using discrete $q$ -analytic $f(z)$ and $p$ -analytic $g(z)$ functions.