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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 25 β€’ Issue 3 β€’ PP: 123-131 β€’ 2025

On A Subclass of Analytic Functions Specified By Touchard Polynomials

Ala Amourah 1* ,
𝐎πͺπ₯𝐚𝐑 𝐀π₯ π‘πžπŸπšπ’ 2 ,
π“πšπ«π’πͺ 𝐀π₯ π‡πšπ°πšπ«π² 3 ,
π‰πšπ¦πšπ₯ π’πšπ₯𝐚𝐑 4 ,
𝐁𝐚𝐬𝐞𝐦 π…π«πšπ¬π’π§ 5
1Mathematics Education Program, Faculty of Education and Arts, Sohar University,Sohar 3111, Oman
2Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13132, Jordan
3Department of Applied Science, Ajloun College, Al balqa Applied University, Ajloun 26816. Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan
4College of Applied and Health Sciences, A'Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman
5Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
* Corresponding Author.
Received: June 14, 2024 Revised: August 10, 2024 Accepted: September 24, 2024

Abstract

In this investigation, we present a new collection of analytic functions that includes Touchard polynomials. We then aim to calculate the Maclaurin coefficients |π‘Ž2 | and |π‘Ž3 | and address the Fekete-Szegö functional problem within this specific subfamily. Additionally, we demonstrate several new outcomes by specifying the parameters used in our main findings.

Keywords

Analytic functions Touchard Polynomials Fekete-Szeg&ouml problem Bi-univalent functions

References

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Amourah, Ala, π‘πžπŸπšπ’, 𝐎πͺπ₯𝐚𝐑 𝐀π₯, π‡πšπ°πšπ«π², π“πšπ«π’πͺ 𝐀π₯, π’πšπ₯𝐚𝐑, π‰πšπ¦πšπ₯, π…π«πšπ¬π’π§, 𝐁𝐚𝐬𝐞𝐦. "On A Subclass of Analytic Functions Specified By Touchard Polynomials." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 123-131. DOI: https://doi.org/10.54216/IJNS.250312
Amourah, A., π‘πžπŸπšπ’, οΏ½., π‡πšπ°πšπ«π², οΏ½., π’πšπ₯𝐚𝐑, οΏ½., π…π«πšπ¬π’π§, οΏ½. (2025). On A Subclass of Analytic Functions Specified By Touchard Polynomials. International Journal of Neutrosophic Science, Volume 25(Issue 3), 123-131. DOI: https://doi.org/10.54216/IJNS.250312
Amourah, Ala, π‘πžπŸπšπ’, 𝐎πͺπ₯𝐚𝐑 𝐀π₯, π‡πšπ°πšπ«π², π“πšπ«π’πͺ 𝐀π₯, π’πšπ₯𝐚𝐑, π‰πšπ¦πšπ₯, π…π«πšπ¬π’π§, 𝐁𝐚𝐬𝐞𝐦. "On A Subclass of Analytic Functions Specified By Touchard Polynomials." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 123-131. DOI: https://doi.org/10.54216/IJNS.250312
Amourah, A., π‘πžπŸπšπ’, οΏ½., π‡πšπ°πšπ«π², οΏ½., π’πšπ₯𝐚𝐑, οΏ½., π…π«πšπ¬π’π§, οΏ½. (2025) 'On A Subclass of Analytic Functions Specified By Touchard Polynomials', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 123-131. DOI: https://doi.org/10.54216/IJNS.250312
Amourah A, π‘πžπŸπšπ’ οΏ½, π‡πšπ°πšπ«π² οΏ½, π’πšπ₯𝐚𝐑 οΏ½, π…π«πšπ¬π’π§ οΏ½. On A Subclass of Analytic Functions Specified By Touchard Polynomials. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):123-131. DOI: https://doi.org/10.54216/IJNS.250312
A. Amourah, οΏ½. π‘πžπŸπšπ’, οΏ½. π‡πšπ°πšπ«π², οΏ½. π’πšπ₯𝐚𝐑, οΏ½. π…π«πšπ¬π’π§, "On A Subclass of Analytic Functions Specified By Touchard Polynomials," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 123-131, 2025. DOI: https://doi.org/10.54216/IJNS.250312
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