Journals / Hacettepe Journal of Mathematics and Statistics / 2007 / Cilt: 36 - Sayı: 1

A differential operator and its applications to certain multivalently analytic functions

Pages
1–6
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Several useful consequences associ­ated with the main results are also considered.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, the authors obtain some interesting properties of (ordinary) differential operators.
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Key Findings & Data:In the present paper, the authors obtain some interesting properties of (ordinary) differential operators.
💡
Conclusion & Impact:Several useful consequences associ­ated with the main results are also considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present paper, the authors obtain some interesting properties of (ordinary) differential operators. Several useful consequences associ­ated with the main results are also considered.

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Cite This Article

IRMAK, H., CHO, N. E. (2022). A differential operator and its applications to certain multivalently analytic functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 1, 1–6. https://ajindex.com/articles/530745

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References (1)

  1. Chen, M.P., Irmak, H. and Srivastava, H.M. Some families multivalently analytic functions with negative coefficients, J. Math. Anal. Appl. 214(2), 674-690, 1997. [2) Duren, P. L. Univalent Functions, Grundlehren der Mathematischen Wissenschaften 259 (Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo, 1983). [3] Goodman, A. W. Univalent Functions, Vols. I and II (Polygonal Publishing House, Wash­ington, New Jersey, 1983). [4] Irmak, H., Cho, N.E., Çetin, Ö. F. and Raina, R. K. Certain inequalities involving meromor-phically multivalent functions, Hacet. Bull. Nat. Sci. Eng. Ser. B 30, 39-43, 2001. [5] Irmak, H., Lee, S.H. and Cho, N.E. Some multivalently starlike functions with negative coefficients and their subclasses defined by using a differential operator, Kyungpook Math. J. 37(1), 43-51, 1997. [6] Irmak, H. A class ofp-valently analytic functions with positive coefficients, Tamkang J. Math. 27(4), 315-322, 1995. [7] Jack, I. S. Functions starlike and convex of order a, J. London Math. Soc. 3, 469-474, 1971. [8] Miller, S. S. and Mocanu, P. T. Second order differential inequalities in the complex palne, J. Math. Anal. Appl. 65, 289-305, 1978. [9] Srivastava, H.M. and Owa, S. (Editors), Current Topics in Analytic Function Theory (World Scientific Publishing Company, Singapore, New Jersey, London, and Hong Kong, 1992).