BibTex RIS Cite

CAUCHY-RIEMANN DENKLEMLERİ VE HOLOMORF (ANALİTİK) FONKSİYONLAR ÜZERİNE

Year 2009, Volume: 4 Issue: 4, 133 - 140, 01.05.2009

Abstract

P ve Q fonksiyonları, iki reel değişkenli ve reel değerli ikı fonksiyon olsun. Bu çalışmada önce P ve Q fonksiyonları için " Cauchy-Riemann eşdeğer sistemleri " elde edilmiştir. Bu sistemin özel hali Cauchy-Riemann denklemlerini verir. Sonra da fonksiyonun holomorf (analitik) olması Cauchy-Riemann eşdeğer sistemleri ile ilişkilendirilmiştir ve  noktasında nin türevinin = olduğu gösterilmiştir. Türevin bu gösteriminde konursa türevin klasik türev biçimini elde ederiz.

ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS

Year 2009, Volume: 4 Issue: 4, 133 - 140, 01.05.2009

Abstract

Let P and Q be real functions with two real variables. In this work, first we obtain for P and Q "Cauchy- Riemann equivalent systems". The case yields Cauchy- Riemann equations.Then we give the relationship of holomorphic (analytical) with Cauchy- Riemann equivalent systems ,and show that the derivative of at  is = If we replace in this representation of derivative,we get the classical derivative form of

There are 0 citations in total.

Details

Primary Language Turkish
Journal Section Physics
Authors

Adem Çelik This is me

Publication Date May 1, 2009
Published in Issue Year 2009 Volume: 4 Issue: 4

Cite

APA Çelik, A. (2009). ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS. Physical Sciences, 4(4), 133-140. https://doi.org/10.12739/10.12739
AMA Çelik A. ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS. Physical Sciences. May 2009;4(4):133-140. doi:10.12739/10.12739
Chicago Çelik, Adem. “ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS”. Physical Sciences 4, no. 4 (May 2009): 133-40. https://doi.org/10.12739/10.12739.
EndNote Çelik A (May 1, 2009) ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS. Physical Sciences 4 4 133–140.
IEEE A. Çelik, “ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS”, Physical Sciences, vol. 4, no. 4, pp. 133–140, 2009, doi: 10.12739/10.12739.
ISNAD Çelik, Adem. “ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS”. Physical Sciences 4/4 (May 2009), 133-140. https://doi.org/10.12739/10.12739.
JAMA Çelik A. ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS. Physical Sciences. 2009;4:133–140.
MLA Çelik, Adem. “ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS”. Physical Sciences, vol. 4, no. 4, 2009, pp. 133-40, doi:10.12739/10.12739.
Vancouver Çelik A. ON CAUCHY-RIEMANN EQUATIONS AND HOLOMORPHIC (ANALYTICAL) FUNCTIONS. Physical Sciences. 2009;4(4):133-40.