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Univalence properties for a general integral operator
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We consider the univalence function classes T, T_(2),T_(2,μ),and S(p). For these classes we shall study some univalence properties for a general integral operator. Furthermore we shall extend some known univalence criteria, i.e., Becker-type criteria.
Abstract
We consider the univalence function classes T, T_(2),T_(2,μ),and S(p). For these classes we shall study some univalence properties for a general integral operator. Furthermore we shall extend some known univalence criteria, i.e., Becker-type criteria.
참고문헌 (9)
- L. V. Ahlfors, "Sufficient conditions for quasiconformal extension, Discontinuous groups and Riemann surfaces", Ann. of Math. Studies, 79, pp.23~29 (1974), Princeton Univ. Press
- J. Becker, "L¨ownersche Differentialgleichung und Schlichtheitskriterien", Math. Ann, 202, pp.321~335 (1973)
- D. Breaz, "The univalent condition for an integral operator on the classes S(®) and T2", Acta Univ. Apulensis Math. Inform., 9, pp.63~69 (2005)
- D. Breaz, "On the univalence criterion of a general integral operator", J. Inequal. Appl., pp.8~ (2008)
- Z. Nehari, "Conformal Mapping" (1952), McGraw-Hill Book Co
- S. Ozaki, "The Schwarzian derivative and univalent functions", Proc. Amer. Math. Soc, 33, pp.392~394 (1972)
- V. Pescar, "A new generalization of Ahlfors’s and Becker’s criterion of univalence", Bull. Malaysian Math. Soc., 19(2), pp.53~54 (1996)
- N. Seenivasagan, "Certain sufficient conditions for univalence", Gen. Math, 15(4), pp.7~15 (2007)
- V. Singh, "On a class of univalent functions", Int. J. Math. Math. Sci, 23(12), pp.855~857 (2000)
관련 논문AI추천
Sufficient conditions for univalence of a general integral operatorChellian Selvaraj, Kadhavoor Ragavan Karthikeyan대한수학회 · 대한수학회보2009 · 제46권 제2호Properties for an integral operator of -valent functionsLaura Stanciu, N. Ularu장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호UNIVALENCE CRITERIA FOR SOME INTEGRAL OPERATORSB.A. Frasin장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호On certain classes of multivalent functions involving a generalized differential operatorChellian Selvaraj, Kuppathai A. Selvakumaran대한수학회 · 대한수학회보2009 · 제46권 제5호Some properties of a Certain family of Meromorphically Univalent Functions defined by an Integral OperatorRasoul Aghalary경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호On a Certain Integral OperatorMuhammed Kamal Aouf, Saurabh Porwal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호
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