Research Article

Radii Problems for Normalized Hyper-Bessel Function

Volume: 5 Number: 1 March 30, 2020
EN

Radii Problems for Normalized Hyper-Bessel Function

Abstract

The main purpose of the present paper is to ascertain the radii of starlikeness and convexity associated with lemniscate of Bernoulli and the Janowski function, $(1+Az)/(1+Bz)$ for $-1\leq B

Keywords

References

  1. \.{I}. Akta\c{s}, \'A. Baricz, Bounds for radii of starlikeness of some $q-$Bessel functions, Results Math (2017), \textbf{72}(71): 947--963.
  2. \.{I}. Akta\c{s}, \'A. Baricz, S. Singh, Geometric and monotonic properties of hyper-Bessel functions, {\it Ramanujan J.} (2019), 1--21, doi: 10.1007/s11139-018-0105-9
  3. R.M. Ali, N. K. Jain, V. Ravichandran, Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane, {\it Appl. Math. Comput.} (2012), \textbf{218}, no. 11, 6557–6565.
  4. \'A. Baricz, A. Prajapati, Radii of starlikeness and convexity of generalized Mittag-Leffler functions, arXiv preprint \href{https://arxiv.org/abs/1901.04333}{arXiv:1901.04333} (2019)
  5. \'A. Baricz, E. Toklu, E. Kad{\i}o\u{g}lu, Radii of starlikeness and convexity of Wright functions, {\it Math. Commun.} (2018), 23: 97--117.
  6. H. Chaggara, N.B. Romdhane, On the zeros of the hyper-Bessel function, {\it Integr. Transf. Spec. Funct.} (2015), \textbf{26}(2), 96--101.
  7. A. W. Goodman, {\it Univalent functions. Vol. I}, Mariner Publishing Co., Inc., Tampa, FL, 1983.
  8. W. Janowski, Extremal problems for a family of functions with positive real part and for some related families, {\it Ann. Polon. Math.}, \textbf{23} (1970/1971), 159–177.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

March 30, 2020

Submission Date

January 24, 2020

Acceptance Date

March 25, 2020

Published in Issue

Year 2020 Volume: 5 Number: 1

APA
Toklu, E., & Kara, O. (2020). Radii Problems for Normalized Hyper-Bessel Function. Turkish Journal of Science, 5(1), 16-22. https://izlik.org/JA79ZR68HN
AMA
1.Toklu E, Kara O. Radii Problems for Normalized Hyper-Bessel Function. TJOS. 2020;5(1):16-22. https://izlik.org/JA79ZR68HN
Chicago
Toklu, Evrim, and Osman Kara. 2020. “Radii Problems for Normalized Hyper-Bessel Function”. Turkish Journal of Science 5 (1): 16-22. https://izlik.org/JA79ZR68HN.
EndNote
Toklu E, Kara O (March 1, 2020) Radii Problems for Normalized Hyper-Bessel Function. Turkish Journal of Science 5 1 16–22.
IEEE
[1]E. Toklu and O. Kara, “Radii Problems for Normalized Hyper-Bessel Function”, TJOS, vol. 5, no. 1, pp. 16–22, Mar. 2020, [Online]. Available: https://izlik.org/JA79ZR68HN
ISNAD
Toklu, Evrim - Kara, Osman. “Radii Problems for Normalized Hyper-Bessel Function”. Turkish Journal of Science 5/1 (March 1, 2020): 16-22. https://izlik.org/JA79ZR68HN.
JAMA
1.Toklu E, Kara O. Radii Problems for Normalized Hyper-Bessel Function. TJOS. 2020;5:16–22.
MLA
Toklu, Evrim, and Osman Kara. “Radii Problems for Normalized Hyper-Bessel Function”. Turkish Journal of Science, vol. 5, no. 1, Mar. 2020, pp. 16-22, https://izlik.org/JA79ZR68HN.
Vancouver
1.Evrim Toklu, Osman Kara. Radii Problems for Normalized Hyper-Bessel Function. TJOS [Internet]. 2020 Mar. 1;5(1):16-22. Available from: https://izlik.org/JA79ZR68HN