Araştırma Makalesi
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Holomorfik fonksiyonlar için Carathèodory eşitsizliğinin genellemesi

Yıl 2017, , 1254 - 1257, 01.12.2017
https://doi.org/10.16984/saufenbilder.337277

Öz

Bu makalede,
Carathèodory eşitsizliğinin sonuçları genelleştirilmiştir. C. T. Rajagopal
 eşitsizliğini,  fonksiyonun
sıfırlarını da göz önüne alarak daha da güçlendirmiştir. Biz
 fonksiyonun hem
sıfırlarını hem de kutuplarını göz önünde bulundurarak,
 ve  eşitsizlikleri için
daha genel sonuçlar elde edeceğiz.

Kaynakça

  • [1] V.N. Dubinin, On application of conformal maps to inequalities for rational function, Izv. Math. 66, 285-297, 2002. [2] G.M. Goluzin, Geometric Theory of Functions of a Complex Variable, 2nd ed. [in Russian], Moscow, 1966. [3] L.S. Hahn and B. Epstein, Clasical Complex Analysis, Jones and Bartlett Publishers International, 1996. [4] G. Kresin and V. Maz'ya , Sharp real-part theorems. A unified approach, Translated from the Russian and edited by T. Shaposhnikova. Lecture Notes in Mathematics, 1903. Springer, Berlin, 2007. [5] C.T. Rajagopal, Carathèodory's inequality and allied results, Math. Student, 9, 73-77, 1941. [6] E. Lindelöf, Mèmoire sur certaines inègalitès dans la thèorie des fonctions monogènes et sur quelques proprièt´es nouvelles de ces fonctions dans le voisinage d'un point singulier essentiel, Acta Soc. Sci. Fennicae, 35, 1-35, 1908.

The generalizations of the Carathèodory Inequality for the holomorphic functions

Yıl 2017, , 1254 - 1257, 01.12.2017
https://doi.org/10.16984/saufenbilder.337277

Öz

In this paper, the
results of the Carathèodory inequality have been generalized. C. T. Rajagopal
further strengthened the inequality
 by considering the
zeros of the function
. We will obtain more general results for the inequalities  and  by considering both
the zeros and the poles of the function
.

Kaynakça

  • [1] V.N. Dubinin, On application of conformal maps to inequalities for rational function, Izv. Math. 66, 285-297, 2002. [2] G.M. Goluzin, Geometric Theory of Functions of a Complex Variable, 2nd ed. [in Russian], Moscow, 1966. [3] L.S. Hahn and B. Epstein, Clasical Complex Analysis, Jones and Bartlett Publishers International, 1996. [4] G. Kresin and V. Maz'ya , Sharp real-part theorems. A unified approach, Translated from the Russian and edited by T. Shaposhnikova. Lecture Notes in Mathematics, 1903. Springer, Berlin, 2007. [5] C.T. Rajagopal, Carathèodory's inequality and allied results, Math. Student, 9, 73-77, 1941. [6] E. Lindelöf, Mèmoire sur certaines inègalitès dans la thèorie des fonctions monogènes et sur quelques proprièt´es nouvelles de ces fonctions dans le voisinage d'un point singulier essentiel, Acta Soc. Sci. Fennicae, 35, 1-35, 1908.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Bülent Nafi Örnek

Tuğba Akyel Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2017
Gönderilme Tarihi 8 Eylül 2017
Kabul Tarihi 15 Haziran 2017
Yayımlandığı Sayı Yıl 2017

Kaynak Göster

APA Örnek, B. N., & Akyel, T. (2017). The generalizations of the Carathèodory Inequality for the holomorphic functions. Sakarya University Journal of Science, 21(6), 1254-1257. https://doi.org/10.16984/saufenbilder.337277
AMA Örnek BN, Akyel T. The generalizations of the Carathèodory Inequality for the holomorphic functions. SAUJS. Aralık 2017;21(6):1254-1257. doi:10.16984/saufenbilder.337277
Chicago Örnek, Bülent Nafi, ve Tuğba Akyel. “The Generalizations of the Carathèodory Inequality for the Holomorphic Functions”. Sakarya University Journal of Science 21, sy. 6 (Aralık 2017): 1254-57. https://doi.org/10.16984/saufenbilder.337277.
EndNote Örnek BN, Akyel T (01 Aralık 2017) The generalizations of the Carathèodory Inequality for the holomorphic functions. Sakarya University Journal of Science 21 6 1254–1257.
IEEE B. N. Örnek ve T. Akyel, “The generalizations of the Carathèodory Inequality for the holomorphic functions”, SAUJS, c. 21, sy. 6, ss. 1254–1257, 2017, doi: 10.16984/saufenbilder.337277.
ISNAD Örnek, Bülent Nafi - Akyel, Tuğba. “The Generalizations of the Carathèodory Inequality for the Holomorphic Functions”. Sakarya University Journal of Science 21/6 (Aralık 2017), 1254-1257. https://doi.org/10.16984/saufenbilder.337277.
JAMA Örnek BN, Akyel T. The generalizations of the Carathèodory Inequality for the holomorphic functions. SAUJS. 2017;21:1254–1257.
MLA Örnek, Bülent Nafi ve Tuğba Akyel. “The Generalizations of the Carathèodory Inequality for the Holomorphic Functions”. Sakarya University Journal of Science, c. 21, sy. 6, 2017, ss. 1254-7, doi:10.16984/saufenbilder.337277.
Vancouver Örnek BN, Akyel T. The generalizations of the Carathèodory Inequality for the holomorphic functions. SAUJS. 2017;21(6):1254-7.

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