SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 6

CHARACTERIZATION PROPERTIES FOR STARLIKENESS AND CONVEXITY OF SOME SUBCLASSES OF P-VALENT FUNCTIONS INVOLVING A CLASS OF INTEGRAL OPERATORS

Somia Muftah AMSHERİA
Valentina ZHARKOVAA
Pages
599–604
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)

Further characterizationtheorems associated with the Hadamard product (or convolution) arealso considered.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper studies the sufficient conditions for the starlikeness andconvexity of a class of fractional integral operators of certain analyticand p-valent functions in the open unit disk.
📊
Key Findings & Data:This paper studies the sufficient conditions for the starlikeness andconvexity of a class of fractional integral operators of certain analyticand p-valent functions in the open unit disk.
💡
Conclusion & Impact:Further characterizationtheorems associated with the Hadamard product (or convolution) arealso considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper studies the sufficient conditions for the starlikeness andconvexity of a class of fractional integral operators of certain analyticand p-valent functions in the open unit disk. Further characterizationtheorems associated with the Hadamard product (or convolution) arealso considered.

🔖

Cite This Article

AMSHERİA, S. M., ZHARKOVAA, V. (2022). CHARACTERIZATION PROPERTIES FOR STARLIKENESS AND CONVEXITY OF SOME SUBCLASSES OF P-VALENT FUNCTIONS INVOLVING A CLASS OF INTEGRAL OPERATORS. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 6, 599–604. https://ajindex.com/articles/530434

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. Goodman, A.W. On the Shwarz-Christoffel transformation and p-valent functions, Trans. Amer. Math. Soc. 68, 204-223, 1950
  2. Kapoor, G. P. and Mishra, A. K. Convex hulls and extreme points of some classes of multi?valent functions, J. Math. Anal. Appl. 87(1), 116-126, 1982
  3. Owa, S. On certain classes of p-valent functions with negative coefficients, Bull. Belg. Math. Soc. Simon Stevin 59, 385-402, 1985
  4. Owa, S., Saigo, M. and Srivastava, H. M. Some characterization theorems for starlike and convex functions involving a certain fractional integral operator, J. Math. Anal. Appl. 140, 419-426, 1989
  5. Partil, D. A. and Thakare, N. K. On convex hulls and extreme points of p-valent starlike and convex classes with applications, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N. S.) 27, 145-160, 1983
  6. Raina, R. K. and Bolia, M. Characterization properties for starlike and convex functions involving a class of fractional integral operators, Rend. Sem. Mat. Univ. Padova. 97, 61-71, 1997
  7. Robertson, M. S. On the theory of univalent functions, Ann. Math. 37, 374-408, 1936
  8. Ruscheweyh, S. and Sheil-Small, T. Hadamard products of schlicht functions and the Polya?Schoenberg conjecture, comment Math. Helv. 48, 119-135, 1973
  9. Silverman, H. Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51, 109-116, 1975
  10. Srivastava, H. M. and Karlsson, P. M. Multiple Gaussian hypergeometric series, (Halsted Press, Ellis Horwood Limited, Chichester, Wiley, New York/ Chichester/ Brishane/ Toronto, 1985)
  11. Srivastava, H. M., Saigo, M. and Owa, S. A class of distortion theorems involving certain operators of fractional calculus, J. Math. Anal. Appl. 131, 412-420, 1988.