Research Article

Some Results Associated with the Hyperbolic Sine Function

Volume: 16 Number: 1 June 30, 2024
EN

Some Results Associated with the Hyperbolic Sine Function

Abstract

In this paper, we examine several characteristics of analytical functions related to the hyperbolic sine function and analyze the behavior of the hyperbolic sine function inside and at the boundary of the unit disk.

Keywords

References

  1. Akyel, T., Estimates for λ-spirallike function of complex order on the boundary, Ukrainian Math.J., 74(1)(2022), 1–14.
  2. Azeroğlu, T.A., Örnek, B.N., A refined Schwarz inequality on the boundary, Complex Variables and Elliptic Equations, 58(2013), 571–577.
  3. Boas, H.P., Julius and Julia: Mastering the art of the Schwarz lemma, Amer. Math. Monthly, 117(2010), 770–785.
  4. Dubinin, V.N., The Schwarz inequality on the boundary for functions regular in the disc, J. Math. Sci., 122(2004), 3623–3629.
  5. Golusin, G.M., Geometric Theory of Functions of Complex Variable [in Russian], 2nd edn., Moscow, 1966.
  6. Jack, I.S., Functions starlike and convex of order α, J. London Math. Soc., 3(1971), 469–474.
  7. Kumar, S.S., Khan, M.G., Ahmad, B. et al., A class of analytic functions associated with sine hyperbolic functions, The Journal of Analysis, (2024).
  8. Mateljevic, M., Mutavdzc, N., Örnek, B.N., Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma, Appl. Anal. Discrete Math., 16 (2022), 111–131.

Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Publication Date

June 30, 2024

Submission Date

March 14, 2024

Acceptance Date

May 26, 2024

Published in Issue

Year 2024 Volume: 16 Number: 1

APA
Örnek, B. N., Dirik, S., & Kandemir, M. (2024). Some Results Associated with the Hyperbolic Sine Function. Turkish Journal of Mathematics and Computer Science, 16(1), 177-183. https://doi.org/10.47000/tjmcs.1452681
AMA
1.Örnek BN, Dirik S, Kandemir M. Some Results Associated with the Hyperbolic Sine Function. TJMCS. 2024;16(1):177-183. doi:10.47000/tjmcs.1452681
Chicago
Örnek, Bülent Nafi, Süleyman Dirik, and Mustafa Kandemir. 2024. “Some Results Associated With the Hyperbolic Sine Function”. Turkish Journal of Mathematics and Computer Science 16 (1): 177-83. https://doi.org/10.47000/tjmcs.1452681.
EndNote
Örnek BN, Dirik S, Kandemir M (June 1, 2024) Some Results Associated with the Hyperbolic Sine Function. Turkish Journal of Mathematics and Computer Science 16 1 177–183.
IEEE
[1]B. N. Örnek, S. Dirik, and M. Kandemir, “Some Results Associated with the Hyperbolic Sine Function”, TJMCS, vol. 16, no. 1, pp. 177–183, June 2024, doi: 10.47000/tjmcs.1452681.
ISNAD
Örnek, Bülent Nafi - Dirik, Süleyman - Kandemir, Mustafa. “Some Results Associated With the Hyperbolic Sine Function”. Turkish Journal of Mathematics and Computer Science 16/1 (June 1, 2024): 177-183. https://doi.org/10.47000/tjmcs.1452681.
JAMA
1.Örnek BN, Dirik S, Kandemir M. Some Results Associated with the Hyperbolic Sine Function. TJMCS. 2024;16:177–183.
MLA
Örnek, Bülent Nafi, et al. “Some Results Associated With the Hyperbolic Sine Function”. Turkish Journal of Mathematics and Computer Science, vol. 16, no. 1, June 2024, pp. 177-83, doi:10.47000/tjmcs.1452681.
Vancouver
1.Bülent Nafi Örnek, Süleyman Dirik, Mustafa Kandemir. Some Results Associated with the Hyperbolic Sine Function. TJMCS. 2024 Jun. 1;16(1):177-83. doi:10.47000/tjmcs.1452681