Starlike and convex properties for Poisson distribution series

Authors

  • Nanjundan MAGESH Post-Graduate and Research Department of Mathematics Government Arts College for Men Krishnagiri 635001, Tamilnadu, India, e-mail: nmagi2000@gmail.com https://orcid.org/0000-0002-0764-8390
  • Saurabh PORWAL Department of Mathematics, U.I.E.T., C.S.J.M. University Kanpur-208024, (U.P.), India, e-mail: saurabhjcb@rediffmail.com https://orcid.org/0000-0003-0847-3550
  • Chinnaswamy ABIRAMI Faculty of Engineering and Technology, SRM University Kattankulathur-603203, Tamilnadu, India, e-mail: shreelekha07@yahoo.com

DOI:

https://doi.org/10.24193/subbmath.2018.1.05

Keywords:

Starlike functions, convex functions, Poisson distribution series.

Abstract

In this paper, we find the necessary and sufficient conditions, inclusion relations for Poisson distribution series belonging to the classes S ∗(α, β) and C ∗(α, β). Further, we consider an integral operator related to Poisson Distribution series.

Mathematics Subject Classification (2010): 30C45.

References

Dixit, K.K., Pal, S.K., On a class of univalent functions related to complex order, Indian J. Pure Appl. Math., 26(1995), no. 9, 889–896.

Gupta, V.P., Jain, P.K., Certain classes of univalent functions with negative coefficients, Bull. Aust. Math. Soc., 14(1976), 409–416.

Mostafa, A.O., Starlikeness and convexity results for hypergeometric functions, Comput. Math. Appl., 59(2010), 2821-2826.

Porwal, S., An application of a Poisson distribution series on certain analytic functions, J. Complex Anal., 2014, Art. ID 984135, 3 pp.

Porwal, S., Kumar, M., A unified study on starlike and convex functions associated with Poisson distribution series, Afr. Mat., 27(5)(2016), 1021–1027.

Silverman, H., Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51(1975), 109–116.

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Published

2018-03-30

How to Cite

MAGESH, N., PORWAL, S., & ABIRAMI, C. (2018). Starlike and convex properties for Poisson distribution series. Studia Universitatis Babeș-Bolyai Mathematica, 63(1), 71–78. https://doi.org/10.24193/subbmath.2018.1.05

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