Open Access

On certain subclasses of analytic functions associated with Poisson distribution series

   | Aug 17, 2019

Cite

[1] N. E. Cho, S. Y. Woo, S. Owa, Uniform convexity properties for hyper-geometric functions, Fract. Cal. Appl. Anal., 5 (3) (2002), 303–313.Search in Google Scholar

[2] K. K. Dixit, S. K. Pal, On a class of univalent functions related to complex order, Indian J. Pure Appl. Math., 26 (9) (1995), 889–896.Search in Google Scholar

[3] B. A. Frasin, T. Al-Hawary, F. Yousef, Necessary and sufficient conditions for hypergeometric functions to be in a subclass of analytic functions, Afr. Mat., 30 (1–2) (2019), 223–230.10.1007/s13370-018-0638-5Search in Google Scholar

[4] E. Merkes, B. T. Scott, Starlike hypergeometric functions, Proc. Amer. Math. Soc., 12 (1961), 885–888.10.1090/S0002-9939-1961-0143950-1Search in Google Scholar

[5] M. L. Mogra, On a class of starlike functions in the unit disc I, J. Indian Math. Soc. 40 (1976), 159–161.Search in Google Scholar

[6] G. Murugusundaramoorthy, Subclasses of starlike and convex functions involving Poisson distribution series, Afr. Mat. (2017) 28:1357-1366.10.1007/s13370-017-0520-xSearch in Google Scholar

[7] G. Murugusundaramoorthy, K. Vijaya, S. Porwal, Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series, Hacettepe J. Math. Stat., 45 (4) (2016), 1101–1107.10.15672/HJMS.20164513110Search in Google Scholar

[8] S. Owa, On certain classes of univalent functions in the unit disc, Kyungpook Math. J., 24 (2) (1984), 127–136.Search in Google Scholar

[9] K. S. Padmanabhan, On certain classes of starlike functions in the unit disc, J. Indian Math. Soc., 32 (1968), 89–103.Search in Google Scholar

[10] S. Porwal, An application of a Poisson distribution series on certain analytic functions, J. Complex Anal., (2014), Art. ID 984135, 1–3.10.1155/2014/984135Search in Google Scholar

[11] S. Porwal, Mapping properties of generalized Bessel functions on some subclasses of univalent functions, Anal. Univ. Oradea Fasc. Matematica, 20 (2) (2013), 51–60.Search in Google Scholar

[12] S. Porwal, M. Kumar, A unified study on starlike and convex functions associated with Poisson distribution series, Afr. Mat., 27 (5) (2016), 1021–1027.10.1007/s13370-016-0398-zSearch in Google Scholar

[13] H. Silverman, Starlike and convexity properties for hypergeometric functions, J. Math. Anal. Appl., 172 (1993), 574–581.10.1006/jmaa.1993.1044Search in Google Scholar

[14] H. M. Srivastava, G. Murugusundaramoorthy, S. Sivasubramanian, Hypergeometric functions in the parabolic starlike and uniformly convex domains, Integr. Transf. Spec. Func., 18 (2007), 511–520.101-1107.10.1080/10652460701391324Search in Google Scholar

eISSN:
2066-7752
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics