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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
https://izlik.org/JA96UL53LZ

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
https://izlik.org/JA96UL53LZ

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
DOI https://doi.org/10.33773/jum.837840
IZ https://izlik.org/JA96UL53LZ
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 1.Gençtürk İ, Hökelekli Ş, Koca K. SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA. JUM. 2021;4(1):1-12. doi:10.33773/jum.837840
Chicago Gençtürk, İlker, Şermin Hökelekli, and Kerim Koca. 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.
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 [1]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, Jan. 2021, doi: 10.33773/jum.837840.
ISNAD Gençtürk, İlker - Hökelekli, Şermin - Koca, Kerim. “SOME CLASSES OF Q-ANALYTIC FUNCTIONS AND THE Q-GREEN’S FORMULA”. Journal of Universal Mathematics 4/1 (January 1, 2021): 1-12. https://doi.org/10.33773/jum.837840.
JAMA 1.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, Jan. 2021, pp. 1-12, doi:10.33773/jum.837840.
Vancouver 1.İlker Gençtürk, Şermin Hökelekli, Kerim Koca. SOME CLASSES OF q-ANALYTIC FUNCTIONS AND THE q-GREEN’S FORMULA. JUM. 2021 Jan. 1;4(1):1-12. doi:10.33773/jum.837840

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https://creativecommons.org/licenses/by-nc-nd/4.0/