Have a personal or library account? Click to login
Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series Cover

Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series

Open Access
|Nov 2023

References

  1. M. Ahmad, B. Frasin, G. Murugusundaramoorthy, A. Al-khazaleh, An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains, Heliyon,7 (2021) e08109.
  2. M. S. Ahmad, Q. Mehmood, W. Nazeer, A. U. Haq, An application of a hypergeometric distribution series on certain analytic functions. Sci. Int. 27, 2989–2992 (2015).
  3. R. M. Ali, A. Badghaish, V. Ravichandran, and A. Swaminathan, Star-likeness of integral transforms and duality, J. Math. Anal. Appl. 385(2) (2012), pp. 808–822.
  4. A. Amourah, B. Frasin, T. M. Seoudy, An Application of Miller–Ross-Type Poisson Distribution on Certain Subclasses of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials, Mathematics 2022, 10, 2462. https://doi.org/10.3390/math10142462.
  5. A. Amourah, B. A. Frasin, M. Ahmad and F. Yousef, Exploiting the Pascal distribution series and Gegenbauer polynomials to construct and study a new subclass of analytic bi-univalent functions, Symmetry 2022, 14, 147.
  6. A. A. Attiya, Some applications of Mittag-Leffler function in the unit disk, Filomat 30(7), 2075–2081 (2016).
  7. R. M. El-Ashwah, W. Y. Kota, Some condition on a Poisson distribution series to be in subclasses of univalent functions, Acta Univ. Apulensis Math. Inform., 51(2017), 89–103.
  8. D. Bansal, J. K. Prajapat, Certain geometric properties of the Mittag-Leffler functions, Complex Var. Elliptic Equ., 61(3), 338–350(2016).
  9. N.E.Cho,S.Y.Woo andS.Owa,Uniform convexitypropertiesfor hypergeometric functions, Fract. Calc. Appl. Anal., 5(3)(2002), 303–313.
  10. S. M. El-Deeb, T. Bulboacă and J. Dziok, Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Math. J., 59(2019), 301–314.
  11. S. S. Ding, Y. Ling and G. J. Bao, Some properties of a class of analytic functions, J. Math. Anal. Appl. no. 1, 195 (1995), 71–81.
  12. K. K. Dixit and S. K. Pal, On a class of univalent functions related to complex order, Indian J. Pure Appl. Math., 26(9)(1995), 889–896.
  13. B. A. Frasin, Starlikeness and convexity of integral operators involving Mittag-Leffler functions, TWMS J. App. Eng. Math., in press.
  14. B. A. Frasin, Comprehensive family of uniformly analytic functions, Tamkang J. Math., 36, (2005), 243–254.
  15. B. A. Frasin and Mohammed M. Gharaibeh, Subclass of analytic functions associated with Poisson distribution series, Afr. Mat. 31, 1167–1173 (2020). https://doi.org/10.1007/s13370-020-00788-z.
  16. B. A. Frasin, On certain subclasses of analytic functions associated with Poisson distribution series, Acta Univ. Sapientiae Math., 11(1)(2019) 78–86.
  17. B. A. Frasin, Subclasses of analytic functions associated with Pascal distribution series, Adv. Theory Nonlinear Anal. Appl., 4 (2020) No. 2, 92–99.
  18. B. A. Frasin, G. Murugusundaramoorthy and S. Yalçin, Subclass of analytic functions associated with Pascal distribution series, Bull. Transilv. Univ. Bra¸sov, Ser. III, Math. Inform. Phys. Vol. 13(62), No. 2 - 2020. Series III: Mathematics, Informatics, Physics, 521–528.
  19. B. A. Frasin, G. Murugusundaramoorthy and Tariq Al-Hawary, Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series, Mathematica Bohemica, Vol. 147, No. 3, pp. 407–417, 2022, doi: 10.21136/MB.2021.0132-20.
  20. B. A. Frasin, T. Al-Hawary and F. Yousef, Some properties of a linear operator involving generalized Mittag-Leffler function, Stud. Univ. Babe¸s-Bolyai Math. 65(1), 67–75 (2020).
  21. B. A. Frasin, G. Murugusundaramoorthy and M. K. Aouf, Subclasses of analytic functions associated with Mittag-Leffler-type Poisson distribution, Palestine J. Math., Vol. 11(1)(2022), 496–503.
  22. B. A. Frasin, Tariq Al-Hawary and Feras Yousef, Necessary and sufficient conditions for hypergeometric functions to be in a subclass of analytic functions, Afr. Mat., 30(1–2)(2019), 223–230.
  23. M. Garg, P. Manohar and S. L. Kalla, A Mittag-Leffler-type function of two variables. Integral Transforms Spec. Funct. 24(11), 934–944 (2013).
  24. E. Merkes and B. T. Scott, Starlike hypergeometric functions, Proc. Amer. Math. Soc., 12(1961), 885–888.
  25. K. S. Miller, B. Ross, An introduction to the fractional calculus and fractional differential equations, John Wiley and Sons, New York, Chichester, Brisbane, Toronto and Singapore (1993).
  26. G. M. Mittag-Leffler, Sur la nouvelle fonction E(x),C.R. Acad. Sci. Paris, 137(1903), 554–558.
  27. G. Murugusundaramoorthy, Studies on classes of analytic functions with negative coefficients, Ph.D. Thesis, University of Madras, 1994.
  28. G. Murugusundaramoorthy, Subclasses of starlike and convex functions involving Poisson distribution series, Afr. Mat., 28(2017), 1357–1366.
  29. G. Murugusundaramoorthy, K. Vijaya and 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.
  30. S. Porwal, An application of a Poisson distribution series on certain analytic functions, J. Complex Anal., (2014), Art. ID 984135, 1–3.
  31. S. Porwal, Mapping properties of generalized Bessel functions on some subclasses of univalent functions, An. Univ. Oradea Fasc. Mat., 20(2)(2013), 51–60.
  32. S. Porwal and M. Kumar, A unified study on starlike and convex functions associated with Poisson distribution series, Afr. Mat., 27(5)(2016), 1021–1027.
  33. C. Ramachandran L. Vanitha, Certain Aspect of Subordination for a class of analytic function, International Journal of Mathematical Analysis,9 (20) 2015, 979 - 984.
  34. A. Shamakhi, B.A. Frasin and T. M. Seoudy, Subclass of analytic functions related with Pascal distribution series, J. Math.,Volume 2022, Article ID 8355285, 5 pages, https://doi.org/10.1155/2022/8355285.
  35. H. Silverman, Starlike and convexity properties for hypergeometric functions, J. Math. Anal. Appl., 172(1993), 574–581.
  36. T. V. Sudharasan, K. G. Subramanian and P. Balasubrahmanyam, On two generalized classes of analytic functions with negative coefficient, Soochow Journal of Mathematics, 25(1) (1999), 11–17.
  37. S. Porwal, Confluent hypergeometric distribution and its applications on certain classes of univalent functions of conic regions, Kyungpook Math. J. 58(3), 495–505 (2018).
  38. B. Şeker, S. S. Eker and B.Çekiç, On a subclass of analytic functions associated with Miller-Ross-type Poisson distribution series, submitted.
  39. T. Sekine, A generalization of certain class of analytic functions with negative coefficients, Math. Japonica 36(1991), no. 1, 13–19.
  40. H. M. Srivastava, B. A. Frasin and Virgil Pescar, Univalence of integral operators involving Mittag-Leffler functions, Appl. Math. Inf. Sci. 11, No. 3, 635–641 (2017).
  41. R. Themangani, S. Porwal and N. Magesh, Generalized hypergeometric distribution and its applications on univalent functions. J. Inequal. Appl. 2020, 249 (2020). https://doi.org/10.1186/s13660-020-02515-5.
  42. A. Wiman,Über die Nullstellun der Funcktionen E(x), Acta Math., 29(1905), 217–134.
Language: English
Page range: 109 - 122
Submitted on: May 19, 2022
|
Published on: Nov 15, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Basem Aref Frasin, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.