Research Article

On some geometric properties of normalized Wright functions

Volume: 41 Number: 3 September 30, 2020
EN

On some geometric properties of normalized Wright functions

Abstract

The main purpose of the present paper is to determine the radii of lemniscate starlikeness, lemniscate convexity, Janowski starlikeness and Janowski convexity of normalized Wright functions. The key tools in the proof of our main results are the infinite product representation of Wright function and some properties of real zeros of the Wright function and its derivative.

Keywords

References

  1. Aktaş, İ. and Baricz, Á., Bounds for radii of starlikeness of some q-Bessel functions, Results Math., 72(1-2) (2017) 947-963.
  2. Aktaş, İ., Baricz, Á. and Orhan H., Bounds for the radii of starlikeness and convexity of some special functions, Turk J Math, 42(1) (2018) 211–226.
  3. Aktaş, İ., Baricz, Á. and Yağmur, N., Bounds for the radii of univalence of some special functions, Math. Inequal. Appl., 20(3) (2017) 825–843.
  4. Aktaş, İ., Baricz, Á. and Singh, S., Geometric and monotonic properties of hyper-Bessel functions, Ramanujan J., 51(2) (2020) 275-295.
  5. Aktaş İ., Toklu, E. and Orhan, H., Radii of uniform convexity of some special functions, Turk J Math, 42(6) (2018) 3010-3024.
  6. Ali, R.M., Jain, N.K. and Ravichandran, V., Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane, Appl. Math. Comput., 218(11) (2012) 6557–6565.
  7. Baricz, Á. and Prajapati, A., Radii of starlikeness and convexity of generalized Mittag-Leffler functions, Math. Commun., 25 (2020) 117-135.
  8. Baricz, Á. and Szász, R., The radius of convexity of normalized Bessel functions of the first kind, Anal. Appl., 12(5) (2014) 485-509.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2020

Submission Date

March 19, 2020

Acceptance Date

August 24, 2020

Published in Issue

Year 2020 Volume: 41 Number: 3

APA
Toklu, E., & Karagöz, N. (2020). On some geometric properties of normalized Wright functions. Cumhuriyet Science Journal, 41(3), 625-634. https://doi.org/10.17776/csj.706232
AMA
1.Toklu E, Karagöz N. On some geometric properties of normalized Wright functions. CSJ. 2020;41(3):625-634. doi:10.17776/csj.706232
Chicago
Toklu, Evrim, and Neslihan Karagöz. 2020. “On Some Geometric Properties of Normalized Wright Functions”. Cumhuriyet Science Journal 41 (3): 625-34. https://doi.org/10.17776/csj.706232.
EndNote
Toklu E, Karagöz N (September 1, 2020) On some geometric properties of normalized Wright functions. Cumhuriyet Science Journal 41 3 625–634.
IEEE
[1]E. Toklu and N. Karagöz, “On some geometric properties of normalized Wright functions”, CSJ, vol. 41, no. 3, pp. 625–634, Sept. 2020, doi: 10.17776/csj.706232.
ISNAD
Toklu, Evrim - Karagöz, Neslihan. “On Some Geometric Properties of Normalized Wright Functions”. Cumhuriyet Science Journal 41/3 (September 1, 2020): 625-634. https://doi.org/10.17776/csj.706232.
JAMA
1.Toklu E, Karagöz N. On some geometric properties of normalized Wright functions. CSJ. 2020;41:625–634.
MLA
Toklu, Evrim, and Neslihan Karagöz. “On Some Geometric Properties of Normalized Wright Functions”. Cumhuriyet Science Journal, vol. 41, no. 3, Sept. 2020, pp. 625-34, doi:10.17776/csj.706232.
Vancouver
1.Evrim Toklu, Neslihan Karagöz. On some geometric properties of normalized Wright functions. CSJ. 2020 Sep. 1;41(3):625-34. doi:10.17776/csj.706232

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December