Have a personal or library account? Click to login
Certain subclasses of Spiral-like univalent functions related with Pascal distribution series Cover

Certain subclasses of Spiral-like univalent functions related with Pascal distribution series

Open Access
|Jan 2021

References

  1. [1] T.Bulboaca and G. Murugusundaramoorthy, Univalent functions with positive coefficients involving Pascal distribution series, Commun. Korean Math. Soc. 35 (2020), No. 3, 867877.
  2. [2] N. E. Cho, S. Y. Woo and S. Owa, Uniform convexity properties for hypergeometric functions, Fract. Cal. Appl. Anal., 5(2002), No. 3, 303–313.
  3. [3] P. L. Duren, Univalent functions, Grundlehren der Mathematischen Wissenschaften Series, 259, Springer Verlag, New York, 1983.
  4. [4] R. M. El-Ashwah, W. Y. Kota, Some condition on a Poisson distribution series to be in subclasses of univalent functions, Acta Universitatis Apulensis, No. 51(2017),89-103.
  5. [5] 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.
  6. [6] B. A. Frasin, On certain subclasses of analytic functions associated with Poisson distribution series, Acta Universitatis Sapientiae Mathematica 11(2019), No. 1, 78-86.
  7. [7] B. A. Frasin, Tariq Al-Hawary and Feras Yousef, Necessary and sufficient conditions for hypergeometric functions to be in a subclass of analytic functions, Afrika Matematika, 30(2019), No.1-2, 223-230.
  8. [8] E. Merkes and B. T. Scott, Starlike hypergeometric functions, Proc. Amer. Math. Soc., 12 (1961), 885-888.10.1090/S0002-9939-1961-0143950-1
  9. [9] G. Murugusundaramoorthy, Subordination results for spiral-like functions associated with the Srivastava-Attiya operator, Integral Transforms Spec. Funct. 23(2012),No. 2, 97103.
  10. [10] G. Murugusundaramoorthy, D. Raducanu, and K.Vijaya, A class of spirallike functions defined by Ruscheweyh-type q-differenceoperator, Novi Sad J. Math. Vol. 49 (2019),No. 2, 59-71.
  11. [11] 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 (2016), No. 4, 1101-1107.
  12. [12] G. Murugusundaramoorthy, Subclasses of starlike and convex functions involving Poisson distribution series, Afr. Mat. (2017) 28: 1357-1366.10.1007/s13370-017-0520-x
  13. [13] G. Murugusundaramoorthy, Univalent functions with positive coefficients involving Poisson distribution series, Honam Mathematical J. 40(2018),No. 3, 529-538.
  14. [14] G. Murugusundaramoorthy, B.A. Frasin and Tariq Al-Hawary, Uniformly convex spiral functions and uniformly spirallike function associated with Pascal distribution series, (communicated).
  15. [15] S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39 (1987), 1057-1077.10.4153/CJM-1987-054-3
  16. [16] S. Porwal, Mapping properties of generalized Bessel functions on some subclasses of univalent functions, Anal. Univ. Oradea Fasc. Matematica, 20 (2013),No. 2, 51-60.
  17. [17] S. Porwal, An application of a Poisson distribution series on certain analytic functions, J. Complex Anal., (2014), Art. ID 984135, 1-3.
  18. [18] S. Porwal and M. Kumar, A unified study on starlike and convex functions associated with Poisson distribution series, Afr. Mat., 27(2016), No. 5, 1021-1027.
  19. [19] M.S. Robertson, On the theory of univalent functions, Ann. of Math. 37 (1936), No. 2, 374-408.
  20. [20] H. Silverman, Starlike and convexity properties for hypergeometric functions, J. Math. Anal. Appl. 172 (1993), 574-581.10.1006/jmaa.1993.1044
  21. [21] E. M. Silvia, On a subclass of spiral-like functions, Proc. Amer. Math. Soc. 44, No. 2,(1974), 411-420.10.1090/S0002-9939-1974-0342688-4
  22. [22] H. M. Srivastava and S. Owa, Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, hadamard products, linear operators, and certain subclasses of analytic functions Nagoya Math. J. Vol. 106 (1987), 1-28.
  23. [23] H. M. Srivastava and S. Owa, A note on certain subclasses of spiral-like functions, Rend. Sem. Mat. Univ. Padova 80 (1988), 101-108.
  24. [24] H. M. Srivastava, G. Murugusundaramoorthy, and S. Sivasubramanian, Hypergeometric functions in the parabolic starlike and uniformly convex domains, Integr. Transf. Spec. Func. 18 (2007), 511-520.10.1080/10652460701391324
  25. [25] H. M. Srivastava, N. Khan, M. Darus, M. T. Rahim, Q. Z. Ahmad, and Y. Zeb, Properties of spiral-like close-to-convex functions associated with conic domains, Mathematics 7 (2019), Article ID 706, 1-12.10.3390/math7080706
  26. [26] H. M. Srivastava, Q.-H. Xu, and G.-P. Wu, Coefficient estimates for certain subclasses of spiral-like functions of complex order, Appl. Math. Lett. 23 (2010), 763-768.10.1016/j.aml.2010.03.005
  27. [27] L. Spaček, Contribution Ă  la thĂ©orie des fonctions univalentes,Časopis Pest. Mat., 62 (1932), 12-19.10.21136/CPMF.1933.121951
  28. [28] A. Swaminathan, Certain suffienct conditions on Gaussian hypergeometric functions, Journal of Inequalities in Pure and Applied Mathematics., 5(2004), No. 4, Art.83 1-10.
  29. [29] P. Umarani, On a subclass of spiral-like functions, Indian J.Pure Appl.Math. 10 (1979),12921297.
DOI: https://doi.org/10.2478/mjpaa-2021-0020 | Journal eISSN: 2351-8227
Language: English
Page range: 312 - 323
Submitted on: Nov 16, 2020
Accepted on: Jan 19, 2021
Published on: Jan 29, 2021
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2021 Gangadharan Murugusundaramoorthy, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.