A class of harminic starlike functions with respect to other points defined by Dziok-Srivastava operator

• Autorzy: Murugusundaramoorthy, G. , Vijaya, K. , Auof, M. K.
• Języki publikacji: EN

Abstrakty

EN

Making use of Dziok-Srivastava operator we introduced a new class of complex-valued harmonie functions which are orientation preserving, univalent and starlike with respect to other points. We investigate the coefficient bounds.distortion inequalities, extreme points and inclusion results for the generalized class of functions.

Słowa kluczowe

PL

funkcja harmoniczna; funkcja jednolistna; funkcja gwiaździsta; operator Dziok-Srivastavy; punkt ekstremalny; splot funkcji

EN

harmonic uniwalent starlike functions; Dziok-Srivastava operator; extreme points; convolution

• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2008
• Tom: Vol. 30
• Strony: 113-124
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Murugusundaramoorthy, G.

autor

Vijaya, K.

autor

Auof, M. K.

• School of Science and Humanities VIT University Vellore-632 014, India

Bibliografia

• [1] O.P.Ahuja and J.M. Jahangiri, Sakaguchi-type harmonic univalent functions, Sci. Math. Japonica., 59 No. 1 (2004), 163-168.
• [2] J. Clunie and T. Sheil-Small, Harmonic Univalent Functions, Ann. Acad. Aci. Fenn. Ser. A.I. Math., 9 (1984) 3-25.
• [3] B.C.Carlson Special Functions of Applied Mathematics, Academic Press, New York 1977.
• [4] B.C.Carlson and S.B.Shaffer, Starlike and prestarlike hypergeometric functions, SIAM, J. Math. Anal., 15 (2002), 737 - 745.
• [5] J.Dziok and H.M.Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Intergral Transform and Spec. Funct., 14 (2003), 7-18.
• [6] J.M.Jahangiri, Harmonic Functions Starlike in the Unit disc., J. Math. Anal. Appl., 235 (1999), 470-477.
• [7] J.M.Jahangiri, G.Murugusundaramoorthy and K.Vijaya, Starlikeness of Rucheweyh type harmonic univalent functions., J. Indian. Academy. Math., 26 (1) (2004), 191-200.
• [8] S.Ponnusamy and S.Sabapathy, Geometric properties of generalized hypergeometric functions, Ramanujan Journal, 1(1997), 187-210.
• [9] E. D. Rainville, Special Functions, Chelsea Publishing Company, New York 1960.
• [10] S. Ruscheweyh, New criteria for Univalent Functions, Proc. Amer. Math. Soc., 49 (1975), 109-115.
• [11] H. Silverman, Harmonic univalent functions with negative coefficients.
• [12] H.M.Srivastava and S.Owa, Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators and certain subclasses of analytic functions, Nagoya Math. J., 106 (1987), 1-28.