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In the present paper we introduce a new subclass of analytic functions in the unit disc defined by convolution (f_μ)^(-1) * f(z), where f_μ = (1-μ)z _2F_1(a, b; c; z) + μz(z _2F_1(a, b; c; z))'. Several interesting properties of the class and integral preserving properties of the subclasses are also considered.
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참고문헌 (22)
참고문헌 신청
B.C. Carlson / 1984 / Starlike and prestarlike hypergeometric functions / SIAM J. Math. Anal 15 (4) : 737 ~ 745
J. Liu / 2001 / The Noor integral operator and strongly close-to-convex functions / J. Math. Anal. Appl 261 (2) : 441 ~ 447
J.A. Kim / 2003 / Mapping properties for convolutions involving hypergeometric functions / Int. J. Math. Math. Sci 17 : 1083 ~ 1091
J.E. Hohlov / 1978 / Operators and operations on the class of univalent fucntions / Izv. Vyssh. Uchebn. Zaved.˘i Mat 197 (10) : 83 ~ 89
J.H. Choi / 2002 / Some inclusion properties of a certain family of integral operators / J. Math. Anal. Appl 276 (1) : 432 ~ 445
J. Liu / 2001 / The Noor integral operator and strongly close-to-convex functions / J. Math. Anal. Appl 261 (2) : 441 ~ 447
J.A. Kim / 2003 / Mapping properties for convolutions involving hypergeometric functions / Int. J. Math. Math. Sci 17 : 1083 ~ 1091
J.E. Hohlov / 1978 / Operators and operations on the class of univalent fucntions / Izv. Vyssh. Uchebn. Zaved.˘i Mat 197 (10) : 83 ~ 89
J.H. Choi / 2002 / Some inclusion properties of a certain family of integral operators / J. Math. Anal. Appl 276 (1) : 432 ~ 445
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