Acknowledgement
The authors would like to thank the referee for his insightful suggestions to improve the paper in current form.
References
- M. S. Ahmad, Q. Menmood, W. Nazeer, and A. U. Haq, An application of a hypergeometric distribution series on certain analytic functions, Sci. Gnt. 27 (2015), 2989-2992.
- O. P. Ahuja, Connections between various subclasses of planar harmonic mappings involving hypergeometric functions, Appl. Math. Comput. 198 (2008), no. 1, 305-316. https://doi.org/10.1016/j.amc.2007.08.035
- S. Altinkaya and S. Yalcin, Poisson distribution series for certain subclasses of starlike functions with negative coefficients, An. Univ. Oradea Fasc. Mat. 24 (2017), no. 2, 5-8.
- S. Altinkaya and S. Yalcin, Poisson distribution series for analytic univalent functions, Complex Anal. Oper. Theory 12 (2018), no. 5, 1315-1319. https://doi.org/10.1007/s11785-018-0764-y
- A. Baricz, Generalized Bessel functions of the first kind, Lecture Notes in Mathematics, 1994, Springer-Verlag, Berlin, 2010. https://doi.org/10.1007/978-3-642-12230-9
- V. B. L. Chaurasia and H. S. Parihar, Certain sufficiency conditions on Fox-Wright functions, Demonstratio Math. 41 (2008), no. 4, 813-822. https://doi.org/10.1515/dema-2008-0409
- J. Clunie and T. Sheil-Small, Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9 (1984), 3-25. https://doi.org/10.5186/aasfm.1984.0905
- P. Duren, Harmonic mappings in the plane, Cambridge Tracts in Mathematics, 156, Cambridge University Press, Cambridge, 2004. https://doi.org/10.1017/CBO9780511546600
- J. M. Jahangiri, Harmonic functions starlike in the unit disk, J. Math. Anal. Appl. 235 (1999), no. 2, 470-477. https://doi.org/10.1006/jmaa.1999.6377
- N. Magesh, S. Porwal, and C. Abirami, Starlike and convex properties for Poisson distribution series, Stud. Univ. Babes-Bolyai Math. 63 (2018), no. 1, 71-78. https://doi.org/10.24193/subbmath.2018.1.05
- G. Murugusundaramoorthy, K. Vijaya, and S. Porwal, Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series, Hacet. J. Math. Stat. 45 (2016), no. 4, 1101-1107.
- W. Nazeer, Q. Mehmood, S. M. Kang, and A. U. Haq, An application of binomial distribution series on certain analytic functions, J. Comput. Anal. Appl. 26 (2019), no. 1, 11-17.
- S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39 (1987), no. 5, 1057-1077. https://doi.org/10.4153/CJM-1987-054-3
- S. Ponnusamy and M. Vuorinen, Univalence and convexity properties for Gaussian hypergeometric functions, Rocky Mountain J. Math. 31 (2001), no. 1, 327-353. https://doi.org/10.1216/rmjm/1008959684
- S. Porwal, An application of a Poisson distribution series on certain analytic functions, J. Complex Anal. 2014 (2014), Art. ID 984135, 3 pp. https://doi.org/10.1155/2014/984135
- S. Porwal, Generalized distribution and its geometric properties associated with univalent functions, J. Complex Anal. 2018 (2018), Art. ID 8654506, 5 pp. https://doi.org/10.1155/2018/8654506
- S. Porwal, S. Altinkaya, and S. Yalcin, The Poisson distribution series of general subclasses of univalent functions, Acta Univ. Apulensis Math. Inform. No. 58 (2019), 45-52. https://doi.org/10.17114/j.aua.2019.58.04
- S. Porwal and K. K. Dixit, An application of hypergeometric functions on harmonic univalent functions, Bull. Math. Anal. Appl. 2 (2010), no. 4, 97-105.
- S. Porwal and M. Kumar, A unified study on starlike and convex functions associated with Poisson distribution series, Afr. Mat. 27 (2016), no. 5-6, 1021-1027. https://doi.org/10.1007/s13370-016-0398-z
- S. Porwal and M. Kumar, Confluent hypergeometric distribution and its applications on certain classes of univalent functions, Afr. Mat. 28 (2017), no. 1-2, 1-8. https://doi.org/10.1007/s13370-016-0422-3
- S. Porwal, N. Magesh, and V. K. Balaji, On certain subclasses of analytic functions associated with confluent hypergeometric distribution, Southeast Asian Bull. Math. 43 (2019), no. 4, 577-584.
- S. Porwal, N. Magesh, and C. Murugesan, On certain classes of analytic functions involving Poisson distribution series, An. Univ. Oradea Fasc. Mat. 24 (2017), no. 2, 15-22.
- R. K. Raina and P. Sharma, Harmonic univalent functions associated with Wright's generalized hypergeometric functions, Integral Transforms Spec. Funct. 22 (2011), no. 8, 561-572. https://doi.org/10.1080/10652469.2010.535797
- H. Silverman and E. M. Silvia, Subclasses of harmonic univalent functions, New Zealand J. Math. 28 (1999), no. 2, 275-284.