SavedAdd your journal

Journals / Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi / 2016 / Cilt: 18 Sayı: 54

NORMALİZE WRİGHT FONKSİONLARININ KONVEKSE-YAKINLIĞI

CLOSE-TO-CONVEXITY OF NORMALIZED WRIGHT FUNCTIONS

Nizami Mustafa
Pages
290–303
Publication Date
2016-09-01
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)

In this study, various sufficient conditions for the normalized Wright functions to be in this class are also obtained

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new subclass K( , ), , 0,1       of analytic functions in the open unit disk is introduced.
📊
Key Findings & Data:The purpose of the present paper is to investigate some characterizations for the normalized Wright functions to be in the subclass K( , ), , 0,1      .
💡
Conclusion & Impact:In this study, various sufficient conditions for the normalized Wright functions to be in this class are also obtained
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Wright fonksiyon · Yıldızıl fonksiyon · Konveks fonksiyon

Abstract

In this paper, a new subclass K( , ), , 0,1       of analytic functions in the open unit disk is introduced. The purpose of the present paper is to investigate some characterizations for the normalized Wright functions to be in the subclass K( , ), , 0,1      . In this study, various sufficient conditions for the normalized Wright functions to be in this class are also obtained

Özet

Bu makalede açık birim diskte analitik fonksiyonların K( , ), , 0,1       yeni bir alt sınıfı tanımlandı. Makalenin amacı, normalize Wright fonksiyonlarının analitik fonksiyonların K( , ), , 0,1       alt sınıfına ait olması içinbazı karakterizasyonları araştırmaktır. Bu çalışmada normalize Wright fonksiyonlarının bu sınıfa ait olması için çeşitli yeterli koşullar da elde edilir

🔖

Cite This Article

Mustafa, N. (2016). NORMALİZE WRİGHT FONKSİONLARININ KONVEKSE-YAKINLIĞI. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, Cilt: 18 Sayı: 54, 290–303. https://ajindex.com/articles/1203922

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Wright EM. On the coefficients of power series having exponential singularities, Journal London Mathematics Society, Volume 8, 1933, pp.71-79.
  2. Gorenflo R, Luchko Yu, Mainardi F. Analytic properties and applications of Wright functions, Fractional Calculus & Applied Analysis, Volume 2, No. 4, 1999, pp.383-414.
  3. Podlubny I. Fractional differential equations, San Diego: Academic Press, 1999.
  4. Samko SG, Kilbas AA, Marichev OI. Fractional integrals and derivatives: Theory and Applications, New York: Gordon and Breach, 1993.
  5. Mainardi F. (Ed. Carpinteri A and Mainardi F.) Fractional calculus: some basic problemsin continuum and statistical mechanics. In: Fractals and Fractional Calculus in Continuum Mechanics, Wen: Springer Verlag, 1971.
  6. Luchko Yu, Gorenflo R. Scale-invariant solutions of a partial differential equation of fractional order, Fractional Calculus & Applied Analysis, Volume 1, No 1, 1998, pp. 63- 78.
  7. Prajapat JK. Certain geometric properties of the Wright function, Inegral Transforms and Special Functions, Volume 26, No. 3, 2015, pp. 203-212.
  8. Duren PL. Univalent Functions, Grundlehren der Mathematischen Wissenshaften, Bd. 259, New York: Springer-Verlag, 1983.
  9. Goodman AW. Univalent Functions, Volume I, Washington: Polygonal, 1983.
  10. Srivastava HM and Owa S. (Editors) Current Topics in Analytic Function Theory,Singapore: World Scientific, 1992
  11. Goodman AW. Univalent functions, Vols. 1-2, Tampa, FL: Mariner, 1983.
  12. Murugusundaramoorthy G, Vijaya K and Porwal S. Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series. Hacettepe Journal of Mathematics and Statistics, DOI: 10.15672/HJMS201664513110. (In press).