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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 359 - 366 (8page)
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Let A(p) be the class of function f: z^{p} + sum^{infty }_{j=1} a_{j}
z^{p+j} analytic in the open unit disc E. Let, for any integer
n > -p, f_{n+p-1} (z) = z^{p} + sum^{infty}_{j=1} (p+j)^{n+p-1} z^{p+j}. We define f^{(-1)}_{n+p-1}(z) by using convolution as f_{n+p-1} * f^{-1}_{n+p-1} = {z^{p}/{(1-z)^{n+p}}. A function p, analytic in E with p(0) = 1, is in the class P_{k} if int^{2pi }_{0} {Re }p(z)-{p} dthetal kpi, where z = re^{itheta}. We use the class P_{k} to introduce a new class of multivalent analytic functions and define an integral operator L_{n+p-1} (f) = f^{-1}_{n+p-1}* f for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.
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참고문헌 (7)
참고문헌 신청
G. S?l?gean / 1983 / Subclasses of univalent functions, Complex Analysis, Fifth Roumanian-Finish Seminar, Lecture Notes in Mathematics, 1013 / Springer-Verlag : 362 ~ 372
K. Inayat Noor / 1992 / On subclasses of close-to-convex functions of higher order / Internal. J. Math. Sc 15 : 279 ~ 290
K. S. Padmanabhan / 1975 / Parvatham, Properties of a class of functions with bounded boundary rotation / Ann. Polon. Math 31 : 311 ~ 323
M. Acu / 2004 / A preserving property of the generalized Bernardi integral operator / General Mathematics 12 (3) : 67 ~ 71
M. K. Aouf / 2002 / On certain fractional operators for certain subclasses of prestarlike functions defined by Salagean operator / Journal of Fractional Calculus 22 : 47 ~ 56
K. Inayat Noor / 1992 / On subclasses of close-to-convex functions of higher order / Internal. J. Math. Sc 15 : 279 ~ 290
K. S. Padmanabhan / 1975 / Parvatham, Properties of a class of functions with bounded boundary rotation / Ann. Polon. Math 31 : 311 ~ 323
M. Acu / 2004 / A preserving property of the generalized Bernardi integral operator / General Mathematics 12 (3) : 67 ~ 71
M. K. Aouf / 2002 / On certain fractional operators for certain subclasses of prestarlike functions defined by Salagean operator / Journal of Fractional Calculus 22 : 47 ~ 56
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