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

A Differential Operator and its Applications to Certain Multivalently Analytic Functions

Hüseyin IRMAK
Nak Eun CHO
Sayfa
1–6
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, the authors obtain some interesting properties of (ordinary) differential operators.
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Temel Bulgular & Veri:In the present paper, the authors obtain some interesting properties of (ordinary) differential operators.
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Sonuç & Katkı:Several useful consequences associated with the main results are also considered.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Open unit disk · Multivalently analytic function · Multivalently starlike

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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Bu Makaleye Atıf Yap

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/530744

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Kaynakça (9)

  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, Wash- ington, New Jersey, 1983).
  4. Irmak, H., Cho, N. E., C¸ etin, ¨O. 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 of p-valently analytic functions with positive coefficients, Tamkang J. Math. 27(4), 315–322, 1995.
  7. Jack, I. S. Functions starlike and convex of order α, 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).