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

İlker Gençtürk; Şermin Hökelekli; Kerim Koca

doi:10.33773/jum.837840

EN

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

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

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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

İlker Gençtürk ^*
0000-0002-0492-939X
Türkiye

Şermin Hökelekli This is me
Türkiye

Kerim Koca This is me
Türkiye

Publication Date

January 31, 2021

Submission Date

December 8, 2020

Acceptance Date

February 11, 2021

Published in Issue

Year 2021 Volume: 4 Number: 1

DOI

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

IZ

https://izlik.org/JA96UL53LZ

Cite

RIS / Bibtex

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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