Dergiler / European Journal of Pure and Applied Mathematics (elektronik) / 2010 / Cilt: 3 - Sayı: 6

Some properties of a class of p-valent analytic functions associated with convolution

Sayfa
1093–1112
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some properties in the form of coefficient inequality, growth and distortion bounds, sufficient conditions with the help of various lemmas, integral means inequality for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studied. 2000 Mathematics Subject Classifications: Primary 30C45, 30C50, 30C55

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we define a class $Re^g_h (p,m,beta)$ associated with convolution of p-valent analytic functions.
📊
Temel Bulgular & Veri:In this paper, we define a class $Re^g_h (p,m,beta)$ associated with convolution of p-valent analytic functions.
💡
Sonuç & Katkı:Some properties in the form of coefficient inequality, growth and distortion bounds, sufficient conditions with the help of various lemmas, integral means inequality for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studied. 2000 Mathematics Subject Classifications: Primary 30C45, 30C50, 30C55
🔬Tür:Araştırma Makalesi
📍Kapsam:2000 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we define a class $Re^g_h (p,m,beta)$ associated with convolution of p-valent analytic functions. Some properties in the form of coefficient inequality, growth and distortion bounds, sufficient conditions with the help of various lemmas, integral means inequality for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studied. 2000 Mathematics Subject Classifications: Primary 30C45, 30C50, 30C55

🔖

Bu Makaleye Atıf Yap

SHARMA, P., SRIVASTAVA, P. (2022). Some properties of a class of p-valent analytic functions associated with convolution. European Journal of Pure and Applied Mathematics (elektronik), Cilt: 3 - Sayı: 6, 1093–1112. https://ajindex.com/articles/511366

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. R.M. Ali and M.H. Hussain, V. Ravichandran and K.G. Subramanian, A class of multivalent functions with negative coefficients defined by convolution, Bull. Korean Math. Soc., 43, 179-188. 2006
  2. Al-Oboudi, On univalent functions defined by a generalized Salagean operator. Int. J. Math. Sci., 27, 1429-1436. 2004
  3. M.K. Aouf and J. Dziok, Distortion and convolutional theorems for operators of generalized fractional calculus involving Wright function, Journal of Appl. Anal., 14, no. 2, 183-192. 2008
  4. M.K. Aouf and J. Dziok, Certain class of analytic functions associated with the Wright generalized hypergeometric function, J. Math. Appl., 30, 23-32. 2008
  5. M.K. Aouf, A.O. Mostafa, Some properties of a subclass of uniformly convex functions with negative coefficients, Demonstratio Math., 61, no. 2, 253-270. 2008
  6. B.C. Carlson and D.B. Shaffer, Starlike and prestarlike hypergeometric functions. SIAM J. Math. Anal., 15 (4), 737-745. 1984 [7] M. Chen, H. Irmak and H.M. Srivastava, Some families of multivalently analytic functions with negative coefficients. J. Math. Anal. Appl., 214, Art.No. AY975615, 674-690. 1997
  7. J. Dziok and R.K. Raina, Families of analytic functions associated with the Wright generalized hypergeometric function, Demonstratio Math., 37, no. 3, 533-542. 2004
  8. J. Dziok, R.K. Raina and H.M. Srivastava, Some classes of analytic functions associated with operators on Hilbert space involving Wright’s generalized hypergeometric function, Proc. Jangjeon Math. Soc., 7, 43-55. 2004
  9. J. Dziok and H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric functions. Appl. Math. Comput., 103, 1-13. 1999
  10. P.L. Duren, Univalent functions, Springer-Verlag, New York, 1983
  11. H.Ö. Güney and D. Breaz, Integral properties of some families of multivalent functions with complex order, Studia Univ. "Babes-Bolyai", Mathematica, vol. LIV, no. 1, March (2009) 6 pp
  12. YU. E. Hohlov, Operators and operations on the class of univalent functions, Izv. Vyssh. Uchebn. Zaved. Mat., 10, 83–89. 1978
  13. I.S. Jack, Functions starlike and convex of order J. London. Math. Soc., 3, 469-474. 1971
  14. A.A. Kilbas, M. Saigo, and J.J. Trujillo, On the generalized Wright function, Fract. Calc. Appl. Anal., 5 (4), 437-460. 2002
  15. J.E. Littlewood, On inequalities in the theory of functions, Proc. London Math. Soc., 23, 481-519. 1925
  16. S.S. Miller and P.T. Mocanu, Second order differential inequaliti