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A Study on Two Subclasses of Analytic and Univalent Functions with Negative Coefficients Involving the Poisson Distribution Series

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This paper introduces two new subclasses of analytical functions with negative coefficients and derives coefficient estimates for these novel subclasses. Further, inclusion relations and necessary and sufficient conditions for the Poisson distribution series to belong to these subclasses are established.

Abstract

This paper introduces two new subclasses of analytical functions with negative coefficients and derives coefficient estimates for these novel subclasses. Further, inclusion relations and necessary and sufficient conditions for the Poisson distribution series to belong to these subclasses are established.

참고문헌 (20)

  1. S. Altınkaya, "Poisson distribution series for analytic univalent functions", Complex Anal. Oper. Theory, 12(5), pp.1315~1319 (2018)
  2. A. Baricz, "Generalized Bessel Functions of the First Kind" (2010), Springer
  3. S. Cakmak, "An application of the distribution series for certain analytic function classes", Surv. Math. Appl., 15, pp.225~331 (2020)
  4. N. E. Cho, "Uniform convexity properties for hyper geometric functions", Fract. Cal. Appl. Anal., 5(3), pp.303~313 (2002)
  5. S. M. El-Deeb, "Pascal distribution series connected with certain subclasses of univalent functions", Kyungpook Math. J., 59(2), pp.301~314 (2019)
  6. S. Fukui, "A Remark on a Class of Certain Analytic Functions", Proc. Japan Acad. Ser. A Math. Sci., 67(6), pp.191~192 (1990)
  7. A. M. Y. Lashin, "The sufficient and necessary conditions for the Poisson distribution series to be in some subclasses of analytic functions", J. Funct. space, 2022, pp.6~ (2022)[DOI]
  8. E. Merkes, "Starlike hypergeometric functions", Proc. Amer. Math. Soc., 12, pp.885~888 (1961)
  9. S. R. Mondal, "Geometric properties of generalized Bessel functions", Bull. Malays. Math. Sci. Soc., 35(1), pp.179~194 (2012)
  10. G. Murugusundaramoorthy, "An application of generalized Bessel functions on certain subclasses of analytic functions", Turk. J. Anal. Number Theory, 3(1), pp.1~6 (2015)
  11. G. Murugusundaramoorthy, "A note on subclasses of starlike and convex functions associated with Bessel functions", J. Nonlinear Funct. Anal., 2014, pp.1~11 (2014)
  12. W. Nazeer, "An application of Binomial distribution series on certain analytic functions", J. Comput. Anal. Appl., 26(1), pp.11~17 (2019)
  13. S. Porwal, "An application of a Poisson distribution series on certain analytic functions", J. Complex Anal., pp.3~ (2014)
  14. S. Porwal, "Mapping properties of generalized Bessel functions on some subclasses of univalent functions", Anal. Univ. Oradea Fasc. Mat., 20(2), pp.51~60 (2013)
  15. S. Porwal, "The Poisson distribution series of general subclasses of univalent functions", Acta Univ. Apulensis Math. Inform., 58, pp.45~52 (2019)
  16. S. Porwal, "A unified study on starlike and convex functions associated with Poisson distribution series", Afr. Mat., 27, pp.1021~1027 (2016)
  17. M. S. Robertson, "On the theory of univalent functions", Ann. of Math., 37, pp.374~408 (1936)[DOI]
  18. H. Silverman, "Starlike and convexity properties for hypergeometric functions", J. Math. Anal. Appl., 172(2), pp.574~581 (1993)
  19. R. Singh, "Some sufficient conditions for univalence and starlikeness", Colloq. Math., 47(2), pp.309~314 (1982)
  20. H. M. Srivastava, "Hypergeometric functions in the parabolic starlike and uniformly convex domains", Integral Transforms Spec. Funct., 18, pp.511~520 (2007)

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