Sharp bounds of the norm of pre-Schwarzian of some certain starlike functions

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Mahzoon Hesam

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2022 | Volume:6 | Issue:27 Page(s): 61-68

Download Full-Text

Persian Verion

View:

146

Download:

Cites:

Information Journal Paper

Title

Sharp bounds of the norm of pre-Schwarzian of some certain starlike functions

Author(s)

Mahzoon Hesam | Issue Writer Certificate

Keywords

Unit disc

Univalent functions

Locally univalent functions

Starlike

Subordination

Abstract

Let $Delta$ be the open Unit disc in the complex plane $mathbb{C}$, i. e. $Delta={zin mathbb{C}: |z|< 1}$ and $mathcal{H}(Delta)$ be the class of functions that are analytic in $Delta$. Also, let $mathcal{A}subset mathcal{H}(Delta)$ be the class of functions that have the following Taylor--Maclaurin series expansion begin{equation*} f(z)=z+sum_{n=2}^{infty} a_nz^nquad(zinDelta). end{equation*} Thus, if $finmathcal{A}$, then it satisfies the following normalized condition begin{equation*} f(0)=0=f'(0)-1. end{equation*} The set of all univalent (one--to--one) functions $f$ in $Delta$ is denoted by $mathcal{U}$. Also, we denote by $mathcal{LU}subset mathcal{H}$ the class of all locally Univalent functions in $Delta$. Let $f$ and $g$ belong to class $mathcal{H}(Delta)$. Then we say that a function $f$ is subordinate to $g$, written by begin{equation*} f(z)prec g(z)quad{rm or}quad fprec g, end{equation*} begin{linenomath} if there exists a Schwarz function $w$ with the following properties begin{equation*} w(0)=0quad{rm and}quad |w(z)|0}$, $varpi(0)=1$ and $varphi'(0)>0$.

Cites

No record.

References

No record.

Cite

APA: Copy

Mahzoon, Hesam. (2022). Sharp bounds of the norm of pre-Schwarzian of some certain starlike functions. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(27 ), 61-68. SID. https://sid.ir/paper/950762/en

Vancouver: Copy

Mahzoon Hesam. Sharp bounds of the norm of pre-Schwarzian of some certain starlike functions. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2022;6(27 ):61-68. Available from: https://sid.ir/paper/950762/en

IEEE: Copy

Hesam Mahzoon, “Sharp bounds of the norm of pre-Schwarzian of some certain starlike functions,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 27 , pp. 61–68, 2022, [Online]. Available: https://sid.ir/paper/950762/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops