논문KCI 등재
Some subclasses of multivalent functions involving a certain linear operator
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
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 (19)
- M. K. Aouf, "A generalization of multivalent functions with negative coecients", 25, pp.5366~ (1988)
- M. K. Aouf, "Subclasses of p-valent and prestarlike functions", 2, pp.357~372 (2007)
- S. D. Bernardi, "Convex and starlike univalent functions", 135, pp.429~446 (1969)
- M.-P. Chen, "Some families of multivalently analyticfunctions with negative coecients", 214, pp.674~690 (1997)
- H. M. Hossen, "Quasi-Hadamard product of certain p-valent functions", 33, pp.277~281 (2000)
- I. S. Jack, "Functions starlike and convex functions of order ?" (1971)
- V. Kumar, "Multivalent functions defined by Ruscheweyh derivatives", 15 (1984)
- V. Kumar, "Multivalent functions defined by Ruscheweyh derivatives.II", 15 (1984)
- R. J. Libera, "Some classes of regular univalent functions", 16 (1969)
- J.-L. Liu, "On a class of multivalent functions involving certain linearoperator", 33, pp.1713~1722 (2002)
- A. E. Livingston, "On the radius of univalence of certain analytic functions", 17 (1966)
- S. Owa, "On distortion theorems. I", 18 (1978)
- S. Owa, "On certain classes of p-valent functions with negative coefficients", 59 (1985)
- D. A. Patil, "On convex hulls and extreme points of p-valent starlikeand convex classes with applications" (1983)
- H. Saitoh, "A linear operator and its applications of first order differentialsubordinations", 44, pp.31~38 (1996)
- A. Schild, "Convolution of univalent functions with negativecoefficients", 29 (1975)
- 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, pp.673~688 (1995)
- H. M. Srivastava, "Current Topics in Analytic FunctionTheory" (1992), World Scientific Publishing Company
- H. M. Srivastava, "Some subclasses of multivalent functionsinvolving a certain linear operator", 310, pp.209~228 (2005)
관련 논문AI추천
A linear operator and associated families of meromorphically multivalent functions of order aH. M. Srivastava, M. K. Aouf장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호Certain Subclass of p-Valent Meromorphic Functions Associated with Linear OperatorA. O. Mostafa, A. Shamandy, Eman Ahmed Adwan, M. K. Aouf경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호On certain classes of multivalent functions involving a generalized differential operatorChellian Selvaraj, Kuppathai A. Selvakumaran대한수학회 · 대한수학회보2009 · 제46권 제5호Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier TransformationH. C. Taneja, S. Sivaprasad Kumar, V. Ravichandran경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호On a Linear Combination of Classes of Multivalently Harmonic FunctionsJAY M. JAHANGIRI, OM P. AHUJA경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호On Subclass of P-Valent Analytic Functions Defined by Integral OperatorsRasoul Aghalary경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호
이 간행물의 다른 논문 (10건)
Arithmetic functions in algebra, geometry and analysisJ. Sandor, E. Egripp. 161-213A note on p -adic q -Euler measureY. Simsek, H. Ozden, S.-H. Rim, I. Cang?lpp. 233-240Explicit p-adic expansion for alternating sums of powersS.-H. Rim, T. Kimpp. 241-250On the additive structure of the set of quadratic residues modulo pM. Demirci, N. Y. Ikikardes, G. Soydan, I. Cang?lpp. 251-257Triple bisection algorithms for 1-D utility elicitation in the case of monotonic preferenceK. I. Tenekedjievpp. 259-281
