논문KCI 등재
SUBORDINATION PROPERTIES FOR MULTIVALENT FUNCTIONS DEFINED BY A LINEAR OPERATOR
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The purpose of the present paper is to investigate subordinationand superordination properties for multivalent functions in theopen unit disk associated with a linear operator with the sandwich-typetheorems. Moreover, we give an application of the main results to theGauss hypergeometric function.
Abstract
The purpose of the present paper is to investigate subordinationand superordination properties for multivalent functions in theopen unit disk associated with a linear operator with the sandwich-typetheorems. Moreover, we give an application of the main results to theGauss hypergeometric function.
참고문헌 (26)
- S. D. Bernardi, "Convex and starlike univalent functions", Trans. Amer. Math. Soc, 135, pp.429~446 (1969)
- T. Bulboaca, "Integral operators that preserve the subordination", Bull. Korean Math. Soc, 32, pp.627~636 (1997)
- T. Bulboaca, "A class of superordination-preserving integral operators", Indag. Math. N. S, 13, pp.301~311 (2002)
- B. C. Carlson, "Starlike and prestarlike hypergeometric functions", SIAM J. Math. Anal., 159, pp.737~745 (1984)
- J. H. Choi, "Some inclusion properties of a certain family of integral operators", J. Math. Anal. Appl., 276, pp.432~445 (2002)
- R. M. Goel, "A new criterion for p-valent functions", Proc. Amer. Math. Soc., 78, pp.353~357 (1980)
- W. Kaplan, "Close-to-convex schlicht functions", Michigan Math. J, 2, pp.169~185 (1952)
- R. J. Libera, "Some classes of regular univalent functions", Proc. Amer. Math. Soc, 16, pp.755~758 (1965)
- J.-L. Liu, "The Noor integral and strongly starlike functions", J. Math. Anal. Appl., 261, pp.441~447 (2001)
- J.-L. Liu, "Some properties of Noor integral operator", J. Nat. Geom., 21, pp.81~90 (2002)
- S. S. Miller, "Differential subordinations and univalent functions", Michigan Math. J, 28, pp.157~171 (1981)
- S. S. Miller, "Univalent solutions of Briot-Bouquet differential equa- tions", J. Different. Equations, 567, pp.297~309 (1985)
- S. S. Miller, "Differential Subordination, Theory and Application" (2000), Marcel Dekker, Inc.
- S. S. Miller, "Subordinants of differential superordinations", Complex Var. Theory Appl, 48, pp.815~826 (2003)
- S. S. Miller, "Subordination-preserving integral op- erators", Trans. Amer. Math. Soc, 283, pp.605~615 (1984)
- K. I. Noor, "On new classes of integral operators", J. Natur. Geom., 16, pp.71~80 (1999)
- K. I. Noor, "On integral operators", J. Math. Anal. Appl, 238, pp.341~352 (1999)
- S. Owa, "Some applications of the generalized Libera integral operator", Proc. Japan Acad. Ser. A Math. Sci., 62, pp.125~128 (1986)
- S. Owa, "Univalent and starlike generalized hypergeometric func- tions", Canad. J. Math, 39, pp.1057~1077 (1987)
- S. Owa, "Some subordination theorems involving a certain family of integral operators", Integral Transforms Spec. Funct, 15, pp.445~454 (2004)
- Ch. Pommerenke, "Univalent Functions" (1975), Vanderhoeck and Ruprecht
- S. Ruscheweyh, "New criteria for univalent functions", Proc. Amer. Math. Soc., 49, pp.109~115 (1975)
- H. Saitoh, "A linear operator and its applications of first order differential subordina- tions", Math. Japon., 44, pp.31~38 (1996)
- H. M. Srivastava, "Some characterizations and distortions theorems involv- ing fractional calculus, generalized hypergeometric functions, Hadamard products, lin- ear operators, and certain subclasses of analytic functions", Nagoya Math. J, 106, pp.1~28 (1987)
- H. M. Srivastava, "Current Topics in Analytic Function Theory" (1992), World Scientific Publishing Company
- E. T. Whittaker, "A Course of Modern Analysis: An Introduction to the General Theory of Infinite Process and of Analytic Functions: With an Account of the Principal Transcental Functions" (1927), Cambridge University Press
관련 논문AI추천
Subordination and superordination for multivalent functions associated with a family of multiplier transformations조낙은장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호Subordination and Superordination for Multivalent Functions associated with the Differintegral Operator권오상, 조낙은경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호Subordination and superordination for meromorphic functions associated with the multiplier transformation권오상, 조낙은영남수학회 · East Asian Mathematical Journal2011 · 제27권 제3호Some subordination properties of the linear operatorTrailokya Panigrahi대한수학회 · 대한수학회지2016 · 제53권 제1호Sandwich theorems for higher-order derivatives of p-valent functions defined by certain linear operatorM. K. Aouf, Tamer M. Seoudy대한수학회 · 대한수학회보2011 · 제48권 제3호Convolution Properties of Certain Class of Multivalent Meromorphic FunctionsPramila Vijaywargiya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호
이 간행물의 다른 논문 (14건)
ON THE TWISTED WEAK q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT 0박진우, 진정희, 정주희, 임석훈pp. 157-164STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS최성규, 강보원, 구남집pp. 165-174THE CONVOLUTION SUM서경식, 김대열, 김애란pp. 175-180NEW METRICS ARISING FROM MATROIDS OF LINEAR CODES김동찬, 김대산, 현종윤pp. 181-193ON THE TWISTED WEAK WEIGHT q-BERNOULLI POLYNOMIALS AND NUMBERS강동진, 박진우, 임석훈, 이선정pp. 195-201
