SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 2

On a subclass of harmonic functions associated with Wright's generalized hypergeometric functions

R. K. RAINA
G. MURUGUSUNDARAMOORTY
Pages
129–136
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)

Among the results pre- sented in this paper include the coefficient bounds, distortion inequality and covering property, extreme points and certain inclusion results for the generalized class of functions defined here.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Wright’s generalized hypergeometric function is used here to introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc.
📊
Key Findings & Data:Wright’s generalized hypergeometric function is used here to introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc.
💡
Conclusion & Impact:Among the results pre- sented in this paper include the coefficient bounds, distortion inequality and covering property, extreme points and certain inclusion results for the generalized class of functions defined here.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Wright’s generalized hypergeometric function is used here to introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. Among the results pre- sented in this paper include the coefficient bounds, distortion inequality and covering property, extreme points and certain inclusion results for the generalized class of functions defined here.

🔖

Cite This Article

RAINA, R. K., MURUGUSUNDARAMOORTY, G. (2022). On a subclass of harmonic functions associated with Wright's generalized hypergeometric functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 2, 129–136. https://ajindex.com/articles/530697

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (9)

  1. Carlson, B.C. and Shaffer, S.B. Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15, 737–745, 2002
  2. Clunie, J. and Sheil-Small, T. Harmonic univalent functions, Ann. Acad. Aci. Fenn. Ser. A.I. Math. 9, 3–25, 1984
  3. Dziok, J. and Raina, R.K. Families of analytic functions associated with the Wright gener- alized hypergeometric function, Demonstratio Math. 37 (3),533–542, 2004
  4. Dziok, J. and Srivastava, H.M. Certain subclasses of analytic functions associated with the generalized hypergeometric function, Intergral Transform Spec. Funct. 14, 7–18, 2003
  5. Jahangiri, J.M. Harmonic functions starlike in the unit disc, J. Math. Anal. Appl. 235, 470–477, 1999
  6. Jahangiri, J.M., Murugusundaramoorthy, G. and Vijaya, K. Starlikeness of Rucheweyh type harmonic univalent functions, J. Indian Acad. Math. 26, 191–200, 2004
  7. Jahangiri, J.M., Murugusundaramoorthy, G. and Vijaya, K. Salagean-Type harmonic univa- lent functions, Southwest J. Pure Appl. Math. 2, 77–82, 2002
  8. Silverman, H. Harmonic univalent functions with negative coefficients, J. Math. Anal. Appl. 220, 283–289, 1998
  9. Wright, E.M. The asymptotic expansion of the generalized hypergeometric function, Proc. London. Math. Soc. 46, 389–408, 1946.