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Dergiler / 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
Sayfa
129–136
Yayın Tarihi
2022-10-18
DOI
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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 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

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Bu Makaleye Atıf Yap

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

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Kaynakça (9)

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  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.