KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Volume: 39 Issue: 4

Univalence Conditions for a New General Integral Operator ABSTRACT | FULL TEXT

B.a. Frasin
m.k. Aouf
Sayfa
—
Yayın Tarihi
2010-04-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Several corollaries and consequences of the main results are also considered.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Using the Hadamard product, we define a new general integral operator.
📊
Temel Bulgular & Veri:The aim of this paper is to obtain new sufficient conditions for the univalence of this general integral operator.
💡
Sonuç & Katkı:Several corollaries and consequences of the main results are also considered.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Using the Hadamard product, we define a new general integral operator. The aim of this paper is to obtain new sufficient conditions for the univalence of this general integral operator. Several corollaries and consequences of the main results are also considered.

🔖

Bu Makaleye Atıf Yap

Frasin, B., Aouf, M. (2010). Univalence Conditions for a New General Integral Operator ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Volume: 39 Issue: 4. https://ajindex.com/articles/1403686

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (15)

  1. Al-Oboudi, F. M. On univalent functions defined by a generalized Salagean operator, Int. J. Math. Math. Sci. 27, 1429–1436, 2004.
  2. Breaz, D. and Breaz, N. An integral univalent operator, Acta Math. Univ. Comenianae LXXVI(2), 137–142, 2007. [3] Breaz, D. and Breaz, N. Univalence of an integral operator, Mathematica (Cluj) 47 (70), 35–38, 2005.
  3. Breaz, D., Breaz, N. and Srivastava, H. M. An extension of the univalent condition for a family of integral operators, Appl. Math. Lett. 22 (1), 41–44, 2009.
  4. Bulut, S. Univalence condition for a new generalization of the family of integral operators, Acta Univ. Apu. 18, 71–78, 2009.
  5. Dziok, J. and Srivastava, H. M. Classes of analytic functions associated with the generalized hypergeometric function,Appl. Math. Comput. 103, 1–13, 1999.
  6. Frasin, B. A. General integral operator defined by Hadamard product, Matematicki Vesnik, 62(2), 127–136, 2010.
  7. Frasin, B. A. A note on certain analytic and univalent functions, Southeast Asian J. Math. 28, 829–836, 2004.
  8. Frasin, B. A. and Ahmad, A -S. Sufficient conditions for univalence of integral operator defined by Hadamard product, Submitted.
  9. Frasin, B. A. and Darus, M. On certain analytic univalent functions, Internat. J. Math. and Math. Sci. 25 (5), 305–310, 2001.
  10. Nehari, Z. Conformal Mappings (McGraw-Hill Book Comp., New York, 1952) (Dover. Publ. Inc., 1975).
  11. Pascu, N. On a univalence criterion, II, Itinerant Seminar on Functional Equations, Approx- imation and Convexity (Cluj-Napoca, 1985), Preprint, 85, Universitatea “Babes-Bolyai”, Cluj-Napoca, 153–154, 1985. [13] Pascu, N. An improvement of Backer’s univalence criterion (Proceedings of the Commem- orative Session Simion Stoilow, Brasov, 1987), 43–48.
  12. Pescar, V. A new generalization of Ahlfor’s and Becker’s criterion of univalence, Bull. Malaysian Math. Soc. (Second Series) 19, 53–54, 1996.
  13. Ruscheweyh, St. New criteria for univalent functions, Proc. Amer.Math. Soc. 49 (1), 109– 115, 1975.
  14. Salagean, G. Subclasses of univalent functions (Lecture Notes in Math. 1013, Springer- Verlag, 1983), 362–372.
  15. Selvaraj, C. and Karthikeyan, K. R. Sufficient conditions for univalence of a general integral operator, Acta Univ. Apu. 17, 87–94, 2009.