Some general results and extreme points of p-valent functions with negative coefficients

• Autorzy: Xiong L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we further investigate the class of functions (…) which are analytic in the open unit disk (…),and involve the combinations of the representations of p-valently starlike and convex functions. We obtain several generalized results on the modified-Hadamard product of the class (…) which extend the corresponding results obtained by Altintas et al. [Computers Math. Applic. 30(2), 9-16, (1995)]; Darwish, Aouf [Mathematical and Computer Modelling (2007), doi:10.1016/j.mcm.2007.08.016 ]. Futher, by fixing the second coefficient of functions in (…) we introduce the special class (…) and discuss the extreme points.

Słowa kluczowe

EN

analytic functions; modified-Hadamard product; extreme points

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 2
• Strony: 261--272
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Xiong L.

• The College of Engineering and Technical Chengdou University of Technology Leshan, Sichuan, 614000, China

Bibliografia

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• [2] H.E.Darwish, M.K.Aouf, Generalizations of modified-Hadamard products of p-valent functions with negative coefficients, Math. Comput. Modelling 49(1-2) (2009), 38-45.
• [3] H.M.Srivastava, S.Owa, S.K.Chatterjea, A note on certain classes of starlike functions, Rend. Sem. Mat. Univ. Padova 77 (1987), 115-124.
• [4] T.Domokos, On a subclass of certain starlike functions with negative coefficients, Stud. Univ. Babeş-Bolyai Math. (1991), 29-36.
• [5] O.Altintaş, H.Irmak, H.M.Srivastava, Fractional calculus and certain starlike functions with negative coefficients, Comput. Math. Appl. 30(2) (1995), 9-16.
• [6] O.Altintaş, Ö.Özkan, H.M.Srivastava, Neighborhoods of a certain family of multivalent functions with negative coefficients, Comput. Math. Appl. 4(7) (2004), 1667-1672.
• [7] O.Altintaş, On a subclass of certain starlike functions with negative coefficients, Math. Japonica 36(3) (1991), 1-7.
• [8] W.Rudin, Functional Analysis, Second Edition, China Machine press, BeiJing, 2004.