Certain classes of multivalent functions with negative coefficients involving the Hadamard product

• Autorzy: Juma, A. R. S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce and investigate a new class of multivalent functions by using the Hadamard product structure defined in the open unit disk. We obtain coefficient estimates, a distortion theorem, extreme points and criteria of starlikeness and convexity for functions which belong to our class. Relevant connections of the results with those obtained in earlier works are also pointed out.

Słowa kluczowe

PL

funkcja wielolistna; funkcja gwiaździsta; funkcja wypukła; iloczyn Hadamarda

EN

multivalent function; starlike and convex function; Hadamard product

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2012
• Tom: Vol. 18, nr 1
• Strony: 133-143
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Juma, A. R. S.

• Department of Mathematics, University of Al-Anbar, Ramadi, Iraq,

Bibliografia

• [1] M. K. Aouf, Generalization of certain subclass of convex functions and a corresponding subclass of starlike functions with negative coefficients. Mat. Tom. 50 (2008), 119-138.
• [2] B. C. Carlson and D. B. Shaffer, Starlike and prestarloke hypergeometric functions, SIAM J. Math. Anal. 15 (1984), 737-745.
• [3] N. E. Cho and H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling 37 (2003), 39-49.
• [4] J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.
• [5] G. Murugusundaramoorthy and S. B. Joshi, Certain classes of analytic functions with negative coefficients associated with a convolution structure, J. Math. Inq. 3 (2009), 293-303.
• [6] T. Rosy and G. Murugusundaramoorthy, Fractional calculus and their applications to certain subclass of uniformly convex functions, Far East J. Math. Sci. 15 (2004), 231-242.
• [7] S. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.
• [8] G. S. Salagean, Subclasses of Univalent Functions, Lecture Notes in Math. 1013, Springer (1983), 362-372.
• [9] S. Shams and S. R. Kulkami, Certain properties of the class of univalent functions defined by Ruscheweyh derivative. Bull. Cal. Math. Soc. 97 (2005), 223-234.