SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 4

Univalence conditions for a new general integral operator

B. A. FRASİN
M. K. AOUF
Pages
567–575
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Using the Hadamard product, we define a new general integral operator.
📊
Key Findings & Data:The aim of this paper is to obtain new sufficient conditions for the univalence of this general integral operator.
💡
Conclusion & Impact:Several corollaries and consequences of the main results are also considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

🔖

Cite This Article

FRASİN, B. A., AOUF, M. K. (2022). Univalence conditions for a new general integral operator. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 567–575. https://ajindex.com/articles/530675

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  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
  4. 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
  5. Bulut, S. Univalence condition for a new generalization of the family of integral operators, Acta Univ. Apu. 18, 71–78, 2009
  6. Dziok, J. and Srivastava, H.M. Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103, 1–13, 1999
  7. Frasin, B.A. General integral operator defined by Hadamard product, Matematicki Vesnik, 62 (2), 127–136, 2010
  8. Frasin, B.A. A note on certain analytic and univalent functions, Southeast Asian J. Math. 28, 829–836, 2004
  9. Frasin, B.A. and Ahmad, A-S. Sufficient conditions for univalence of integral operator defined by Hadamard product, Submitted
  10. Frasin, B.A. and Darus, M. On certain analytic univalent functions, Internat. J. Math. and Math. Sci. 25 (5), 305–310, 2001
  11. Nehari, Z. Conformal Mappings (McGraw-Hill Book Comp., New York, 1952) (Dover. Publ. Inc., 1975)
  12. Pascu, N. On a univalence criterion, II, Itinerant Seminar on Functional Equations, Approximation 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
  14. Pescar, V. A new generalization of Ahlfor’s and Becker’s criterion of univalence, Bull. Malaysian Math. Soc. (Second Series) 19, 53–54, 1996
  15. Ruscheweyh, St. New criteria for univalent functions, Proc. Amer.Math. Soc. 49 (1), 109–115, 1975
  16. Salagean, G. Subclasses of univalent functions (Lecture Notes in Math. 1013, Springer- Verlag, 1983), 362–372
  17. Selvaraj, C. and Karthikeyan, K.R. Sufficient conditions for univalence of a general integral operator, Acta Univ. Apu. 17, 87–94, 2009.