Some subclasses of multivalent functions involving a certain linear operator

다국어 초록 (Multilingual Abstract)

In this paper, we investigate the various important properties and characteristics of the subclasses Sa,c(λ;p,A,B) and Ta,c(λ;p,A,B) of p-valent functions defined by means of certain linear operators. We first establish an inclusion relation for the class Sa,c(λ;p,A,B). We then derive many results for the modied Hadamard products of functions belonging to the class Ta,c(λ;p,A,B). Finally, several applications involving an integral operator and certain fractional calculus operators are also considered.

참고문헌 (Reference)

1 M. K. Aouf, "Subclasses of p-valent and prestarlike functions" 2 : 357-372, 2007

2 H. M. Srivastava, "Some subclasses of multivalent functionsinvolving a certain linear operator" 310 : 209-228, 2005

3 M.-P. Chen, "Some families of multivalently analyticfunctions with negative coecients" 214 : 674-690, 1997

4 R. J. Libera, "Some classes of regular univalent functions" 16 : 1969

5 H. M. Hossen, "Quasi-Hadamard product of certain p-valent functions" 33 : 277-281, 2000

6 A. E. Livingston, "On the radius of univalence of certain analytic functions" 17 : 1966

7 S. Owa, "On distortion theorems. I" 18 : 1978

8 D. A. Patil, "On convex hulls and extreme points of p-valent starlikeand convex classes with applications" 1983

9 S. Owa, "On certain classes of p-valent functions with negative coefficients" 59 : 1985

10 J.-L. Liu, "On a class of multivalent functions involving certain linearoperator" 33 : 1713-1722, 2002

11 V. Kumar, "Multivalent functions defined by Ruscheweyh derivatives.II" 15 : 1984

12 V. Kumar, "Multivalent functions defined by Ruscheweyh derivatives" 15 : 1984

13 I. S. Jack, "Functions starlike and convex functions of order ？" 1971

14 H. M. Srivastava, "Current Topics in Analytic FunctionTheory" World Scientific Publishing Company 1992.

15 A. Schild, "Convolution of univalent functions with negativecoefficients" 29 : 1975

16 S. D. Bernardi, "Convex and starlike univalent functions" 135 : 429-446, 1969

17 H. Saitoh, "A linear operator and its applications of first order differentialsubordinations" 44 : 31-38, 1996

18 M. K. Aouf, "A generalization of multivalent functions with negative coecients" 25 : 5366-, 1988

19 H. M. Srivastava, "A certain fractional derivative operator andits applications to a new class of analytic and multivalent functions with negativecoefficients I and II" 192 : 673-688, 1995