Certain class of analytic functions associated with the wright generalized hypergeometric function

• Autorzy: Aouf M. K. , Dziok J.
• Języki publikacji: EN

Abstrakty

EN

Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.

Słowa kluczowe

EN

Wright's generalized hypergeometric function; linear operator; analytic function

PL

funkcja hipergeometryczna; dystrybucja; operator liniowy; funkcja analityczna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2008
• Tom: Vol. 30
• Strony: 23--32
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Aouf M. K.

autor

Dziok J.

• Department of Mathematics Faculty of Science Mansoura University Mansoura 35516, Egypt

Bibliografia

• [1] J. Dziok and R. K. Raina, Families of analytic functions associated with the Wright generalized hypergeometric function, Demonstratio Math. 37(2004), no. 3, 533-542.-1mm
• [2] 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. of the Jangieon Math. Soc., 7(2004), 43-55.-lmm
• [3] J. Dziok and H. M. Srivastava, Classes of analytic functions with the generalized hypergeometric function, Applied Math. Comput. 103(1999), 1-13.-1mm
• [4] J. Dziok and H. M. Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transform. Spec. Punct. 14(2003), 7-18.-lmm
• [5] A. Gangadharan, T. N. Shanmugam and H. M. Srivastava, Generalized hypergeometric function associated with k-uniformly convex functions, Comput. Math. Appl. 44(2002), no. 12, 1515-1526.-1mm
• [6] P. W. Karlsson and H. M. Srivastava, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Ltd., Chichester), John Wiley and Sons, New York, Chichester, Brisbane and London 1985.-1mm
• [7] J. -L. Liu, Strongly starlike functions associated with the Dziok-Srivastava operator, Tarnkang J. Math. 35(2004), no. 1, 37-42.-lmm
• [8] T. S. Nahar and R. K. Raina, A note on boundedness properties of Wright's generalized hypergeometric function, Ann. Math. Blaise Pascal 4(1997), 83-95.-1mm
• [9] T. S. Nahar and R. K. Raina, On characterization of certain Wright's generalized hypergeometric functions involving certain subclasses of analytic functions, Informatica 10(1999), 219-230.-lmm
• [10] T. S. Nahar and R. K. Raina, On univalent and starlike Wright's hypergeometric functions, Rend. Sem. Math. Univ. Padova 95(1996), 11-22.-lmm
• [11] S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39(1987), no. 5, 1057-1077.-lmm
• [12] J. Patel and M. Acharya, Certain subclasses of starlike functions with negative coefficients, Bull. Cal. Math. Soc. 87(1995), 265-276.-lmm
• [13] St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49.-lmm
• [14] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51(1975), 109-116.-lmm
• [15] E. M. Wright, The asymptotic expansion of the generalized hypergeometric function, Proc. London Math. Soc. 46(1946), 389-408.-lmm