Admissible classes of analytic functions associated with generalized Struve functions

Authors

  • Trailokya PANIGRAHI Department of Mathematics School of Applied Sciences, KIIT University Bhubaneswar-751024, Orissa, India, e-mail: trailokyap6@gmail.com
  • Daniel BREAZ Department of Mathematics University of Alba Iulia, Romania e-mail: dbreaz@uab.ro https://orcid.org/0000-0002-0095-1346

DOI:

https://doi.org/10.24193/subbmath.2017.2.07

Keywords:

Analytic functions, strong differential subordination, strong differential superordination, Hadamard product, admissible functions, generalized Struve functions.

Abstract

In the present paper, by considering suitable classes of admissible functions we investigate some strong differential subordination as well as superordination results for analytic functions associated with normalized form of the generalized Struve functions. As a consequence of these results, new strong differential sandwich-type results are obtained.

Mathematics Subject Classification (2010): 30C45, 30C80, 33C10.

References

Antonino, J.A., Romaguera, S., Strong differential subordination to Briot-Bouquet differential equations, J. Differential Equations, 114(1994), 101-105.

Antonino, J.A., Strong differential subordination and applications to univalency conditions, J. Korean Math. Soc., 43(2006), 311-322.

Cho, N.E., Kwon, O.S., Srivastava, H.M., Strong differential subordination and superordination for multivalently meromorphic function involving the Liu-Srivastava operatior, Integral Transforms and Spec. Funct., 21(8)(2010), 589-601.

Miller, S.S., Mocanu, P.T., Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, No. 225, Marcel Dekker Incorporated, New York and Bessel, 2000.

Miller, S.S., Mocanu, P.T., Subordinants of differential superordinations, Complex Var. Theory Appl., 48(10)(2003), 815-826.

Orhan, H., Ya˘gmur, N., Geometric properties of generalized Struve functions, in International Congress in Honour of Professor Hari M. Srivastava, Bursa, Turkey, August, 2012.

Oros, G.I., First order differential superordinations using the Dziok-Srivastava linear operator, Math. Reports, 12(62)(2001), 37-44.

Oros, G.I., First order strong differential superordinaton, Gen. Math., 15(2007), no. 2-3, 77-87.

Oros, G.I., Strong differential superordination, Acta Univ. Apulensis Math. Inform., 19(2009), 101-106.

Oros, G.I., Oros, G., First order linear strong differential subordination, Gen. Math., 15(2007), no. 2-3, 98-107.

Oros, G.I., Oros, G., Strong differential subordination, Turk. J. Math., 33(2009), 249-257. [12] Raza, M., Ya˘gmur, N., Some properties of a class of analytic functions defined by generalized Struve functions, Turk. J. Math., 39(2015), 931-944.

Ya˘gmur, N., Orhan, H., Starlikeness and convexity of generalized Struve functions, Abst. Appl. Anal., (2013), doi:10.1155/2013/954513.

Zhang, S., Jin, J., Computation of Special Functions, A Wiley Interscience Publication, John Wiley and Sons, New York, NY, USA, 1996.

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Published

2017-06-15

How to Cite

PANIGRAHI , T., & BREAZ, D. (2017). Admissible classes of analytic functions associated with generalized Struve functions. Studia Universitatis Babeș-Bolyai Mathematica, 62(2), 205–215. https://doi.org/10.24193/subbmath.2017.2.07

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