Modified Hadamard product properties of certain class of analytic functions with varying arguments defined by Salagean and Ruscheweyh derivative

Authors

  • Ágnes Orsolya PÁLL-SZABÓ Babe¸s-Bolyai University Faculty of Mathematics and Computer Sciences Cluj-Napoca, Romania, e-mail: pallszaboagnes@math.ubbcluj.ro https://orcid.org/0000-0003-3469-3362

DOI:

https://doi.org/10.24193/subbmath.2017.4.05

Keywords:

Analytic functions, modified Hadamard product, Sălăgean and Ruscheweyh derivative.

Abstract

In this paper we study the modified Hadamard product properties of certain class of analytic functions with varying arguments defined by S˘alăgean and Ruscheweyh derivative. The obtained results are sharp and they improve known results.

Mathematics Subject Classification (2010): 30C45.

References

Alb Lupa¸s, A., Andrei, L., Aspects of univalent holomorphic functions involving Ruscheweyh derivative and generalized Salagean operator, Journal of Computational Analysis & Applications, 19(2015), no. 1, 272-277.

Al-Amiri, H.S., On Ruscheweyh derivatives, Ann. Polon. Math., 38(1980), 87-94.

Al-Oboudi, F.M. On univalent functions defined by a generalized Salagean operator, Ind. J. Math. Math. Sci., 27(2004), 1429-1436.

Attiya, A.A., Aouf, M.K., A study on certain class of analytic functions defined by Ruscheweyh derivative, Soochow J. Math., 33(2007), no. 2, 273-289.

Hossen, H.M., S˘ala˘gean, G.S., Aouf, M.K., Notes on certain classes of analytic functions with negative coefficients, Mathematica, 39(1997), no. 2, 165-179.

Mocanu, P.T., Bulboac˘a, T., S˘ala˘gean, G.S., The geometric theory of univalent functions, Casa C˘ar¸tii de S¸tiin¸ta˘, Cluj-Napoca, 2006.

P´all-Szab´o, Á.O., Certain class of analytic functions with varying arguments defined by S˘al˘agean and Ruscheweyh derivative, Mathematica (Cluj), 59(82)(2017), no. 1-2, 80-88. [8] Ruscheweyh, S., New criteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109-115.

S˘al˘agean, G.S., Convolution properties of some classes of analytic functions with negative coefficients, Proc. Int. Symposium New. Develop. Geometric Function Th. and its Appl. GFTA, Univ. Kebangsaan Malaysia, 10-13 Nov. 2008, 12-16.

S˘al˘agean, G.S., Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, 1013(1983), 362-372.

Schild, A., Silverman, H., Convolution of univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 29(1975), 99-107.

Silverman, H., Univalent functions with varying arguments, Houston J. Math., 17(1981), 283-287.

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Published

2017-12-30

How to Cite

PÁLL-SZABÓ, Ágnes O. (2017). Modified Hadamard product properties of certain class of analytic functions with varying arguments defined by Salagean and Ruscheweyh derivative. Studia Universitatis Babeș-Bolyai Mathematica, 62(4), 461–468. https://doi.org/10.24193/subbmath.2017.4.05

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