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Abstrakty
The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. These results are obtained by investigating appropriate class of admissible functions. Various known or new special cases of our results are.
Czasopismo
Rocznik
Tom
Strony
49--57
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Faculty of Mathematics and Natural Sciences, University of Rzeszów, 35-310 Rzeszów, Poland
autor
- School of Advanced Sciences, VIT University, Vellore - 632014, India
autor
- School of Advanced Sciences, VIT University, Vellore - 632014, India
Bibliografia
- [1] A. Baricz, Geometric properties of generalized Bessel functions, Publ. Math. Debrecen, 73(1-2) (2008), 155-178.
- [2] A. Baricz, Generalized Bessel functions of the first kind, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 2010.
- [3] A. Baricz, E. Deniz, M.Çağlar and H.Orhan, Differential subordinations involving generalized Bessel functions, Bull. Malays. Math. Sci. Soc. (2014), to appear.
- [4] O. Altintaş, Ö. Özkan and H. M. Srivastava, Majorization by starlike functions of complex order, Complex Variables Theory Appl. 46(2001), no. 3, 207-218.
- [5] S. P. Goyal and P. Goswami, Majorization for certain classes of analytic functions defined by fractional derivatives, Appl. Math. Lett. 22(2009), no. 12, 1855-1858.
- [6] R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16(1965), 755-758.
- [7] A. E. Livingston, On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 17(1966), 352-357.
- [8] T. H. MacGregor, Majorization by univalent functions, Duke Math. J. 34(1967), 95-102.
- [9] S. S. Miller and P. T. Mocanu, Differential subordinations, Monographs and Textbooks in Pure and Applied Mathematics, 225, Dekker, New York, 2000.
- [10] Z.Nehari, Conformal mapping, MacGra-Hill Book Company, New York; Toronto and London, 1952.
- [11] M.A. Nasr, M.K. Aouf, Starlike function of complex order, J. Natur. Sci. Math. 25(1) (1985), 1-12.
- [12] L. Špaček, Příspēvek k teorii funkci prostýčh,Časopis Pĕst Math. 63(1933), 12-19.
- [13] H.M.Srivastava and S.Owa, A note on certain class of spiral-like functions, Rend. Sem. Mat. Univ. Padavo, 80(1988), 17-24.
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Bibliografia
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