Pascu-type p-valent functions associated with the convolution structure

Authors

  • Birgül ÖNER Dicle University, Department of Mathematics Science Faculty TR-21280 Diyarbakr, Turkey
  • Sevtap SÜMER EKER Dicle University, Department of Mathematics Science Faculty TR-21280 Diyarbakr, Turkey e-mail: sevtaps@dicle.edu.tr https://orcid.org/0000-0002-2573-0726

Keywords:

p-valent functions, coefficient bounds, Hadamard product (or convolution), extreme points, distortion bounds, integral means, Sălăgean operator.

Abstract

Making use of convolution structure, we introduce a new class of pvalent functions. Among the results presented in this paper include the coecient bounds, distortion inequalities, extreme points and integral means inequalities for this generalized class of functions are discussed.

Mathematics Subject Classification (2010): 30C45, 30C50.

References

Ali, R.M., Khan, M.H., Ravichandran, V., Subramanian, K.G., A class of multivalent functions with negative coefficients defined by convolution, Bulletin of the Korean Mathematical Society, 43(2006), no. 1, 179-188.

Duren, P.L., Univalent functions, Springer-Verlag, New York, 1983.

Guney, H. O., Salagean, G.S., Further properties of β-Pascu convex functions of order α, International Journal of Mathematics and Mathematical Sciences, 2007, Article ID 34017.

Littlewood, J.E., On inequalities in the theory of functions, Proc. London Math. Soc., 23(1925), 481-519.

Pascu, N.N., Podaru, V., On the radius of alpha-starlikeness for starlike functions of order beta, Lecture Notes in Math., 1013(1983), 335-349.

Salagean, G.S., Subclasses of univalent functions, in "Complex Analysis: Fifth Romanian-Finnish Seminar", Part 1 (Bucharest, 1981), Lecture Notes in Math., Springer-Verlag, Berlin, Heidelberg and New York, 1013(1983), 362-372.

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Published

2015-09-30

How to Cite

ÖNER, B., & SÜMER EKER, S. (2015). Pascu-type p-valent functions associated with the convolution structure. Studia Universitatis Babeș-Bolyai Mathematica, 60(3), 403–411. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5788

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