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

İlker Gençtürk; Şermin Hökelekli; Kerim Koca

doi:10.33773/jum.837840

Research Article

Year 2021, Volume: 4 Issue: 1, 1 - 12, 31.01.2021

İlker Gençtürk , Şermin Hökelekli Kerim Koca

https://doi.org/10.33773/jum.837840

Abstract

References

Ernst T., A Comprehensive Treatment of q-Calculus, Springer Basel, (2012).
Harman C. J., Discrete geometric function theory I, Applicable analysis, 7(4)(1978), 315–336.
Harman C. J., Discrete geometric function theory II, Applicable analysis, 9(3)(1979), 191–203.
Pashaev O. K. and Nalci S., q-analytic functions, fractals and generalized analytic functions, Journal of Physics A: Mathematical and Theoretical, 47(4)(2014), 045204.
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.
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.

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

Year 2021, Volume: 4 Issue: 1, 1 - 12, 31.01.2021

İlker Gençtürk , Şermin Hökelekli Kerim Koca

https://doi.org/10.33773/jum.837840

Abstract

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.

Keywords

q-differential , q-integral , q-analytic functions

References

Ernst T., A Comprehensive Treatment of q-Calculus, Springer Basel, (2012).
Harman C. J., Discrete geometric function theory I, Applicable analysis, 7(4)(1978), 315–336.
Harman C. J., Discrete geometric function theory II, Applicable analysis, 9(3)(1979), 191–203.
Pashaev O. K. and Nalci S., q-analytic functions, fractals and generalized analytic functions, Journal of Physics A: Mathematical and Theoretical, 47(4)(2014), 045204.
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.
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.

There are 6 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	İlker Gençtürk 0000-0002-0492-939X Şermin Hökelekli This is me Kerim Koca This is me
Submission Date	December 8, 2020
Acceptance Date	February 11, 2021
Publication Date	January 31, 2021
Published in Issue	Year 2021 Volume: 4 Issue: 1

Cite

APA	Gençtürk, İ., Hökelekli, Ş., & Koca, K. (2021). SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA. Journal of Universal Mathematics, 4(1), 1-12. https://doi.org/10.33773/jum.837840
AMA	Gençtürk İ, Hökelekli Ş, Koca K. SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA. JUM. January 2021;4(1):1-12. doi:10.33773/jum.837840
Chicago	Gençtürk, İlker, Şermin Hökelekli, and Kerim Koca. “SOME CLASSES OF Q-ANALYTIC FUNCTIONS AND THE Q-GREEN’S FORMULA”. Journal of Universal Mathematics 4, no. 1 (January 2021): 1-12. https://doi.org/10.33773/jum.837840.
EndNote	Gençtürk İ, Hökelekli Ş, Koca K (January 1, 2021) SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA. Journal of Universal Mathematics 4 1 1–12.
IEEE	İ. Gençtürk, Ş. Hökelekli, and K. Koca, “SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA”, JUM, vol. 4, no. 1, pp. 1–12, 2021, doi: 10.33773/jum.837840.
ISNAD	Gençtürk, İlker et al. “SOME CLASSES OF Q-ANALYTIC FUNCTIONS AND THE Q-GREEN’S FORMULA”. Journal of Universal Mathematics 4/1 (January2021), 1-12. https://doi.org/10.33773/jum.837840.
JAMA	Gençtürk İ, Hökelekli Ş, Koca K. SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA. JUM. 2021;4:1–12.
MLA	Gençtürk, İlker et al. “SOME CLASSES OF Q-ANALYTIC FUNCTIONS AND THE Q-GREEN’S FORMULA”. Journal of Universal Mathematics, vol. 4, no. 1, 2021, pp. 1-12, doi:10.33773/jum.837840.
Vancouver	Gençtürk İ, Hökelekli Ş, Koca K. SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA. JUM. 2021;4(1):1-12.