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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

Publication Date January 31, 2021
Submission Date December 8, 2020
Acceptance Date February 11, 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 (January 2021), 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.
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