International Journal of Neutrosophic Science

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Volume 25 , Issue 3 , PP: 123-131, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

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

  • 1 Mathematics Education Program, Faculty of Education and Arts, Sohar University,Sohar 3111, Oman - (AAmourah@su.edu.om)
  • 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13132, Jordan - (orefai@zu.edu.jo)
  • 3 Department of Applied Science, Ajloun College, Al balqa Applied University, Ajloun 26816. Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan - (tariq_amh@bau.edu.jo)
  • 4 College of Applied and Health Sciences, A'Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman - (damous73@yahoo.com)
  • 5 Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan - (bafrasin@yahoo.com)
  • Doi: https://doi.org/10.54216/IJNS.250312

    Received: February 21, 2024 Revised: May 22, 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-Szegö , problem , Bi-univalent functions

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    Cite This Article As :
    Amourah, Ala. , 𝐀π₯, 𝐎πͺπ₯𝐚𝐑. , 𝐀π₯, π“πšπ«π’πͺ. , 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. , no. , 2025, pp. 123-131. DOI: https://doi.org/10.54216/IJNS.250312
    Amourah, A. 𝐀π₯, . 𝐀π₯, . π’πšπ₯𝐚𝐑, . π…π«πšπ¬π’π§, . (2025). On A Subclass of Analytic Functions Specified By Touchard Polynomials. International Journal of Neutrosophic Science, (), 123-131. DOI: https://doi.org/10.54216/IJNS.250312
    Amourah, Ala. 𝐀π₯, 𝐎πͺπ₯𝐚𝐑. 𝐀π₯, π“πšπ«π’πͺ. 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 , no. (2025): 123-131. DOI: https://doi.org/10.54216/IJNS.250312
    Amourah, A. , 𝐀π₯, . , 𝐀π₯, . , π’πšπ₯𝐚𝐑, . , π…π«πšπ¬π’π§, . (2025) . On A Subclass of Analytic Functions Specified By Touchard Polynomials. International Journal of Neutrosophic Science , () , 123-131 . DOI: https://doi.org/10.54216/IJNS.250312
    Amourah A. , 𝐀π₯ . , 𝐀π₯ . , π’πšπ₯𝐚𝐑 . , π…π«πšπ¬π’π§ . [2025]. On A Subclass of Analytic Functions Specified By Touchard Polynomials. International Journal of Neutrosophic Science. (): 123-131. DOI: https://doi.org/10.54216/IJNS.250312
    Amourah, A. 𝐀π₯, . 𝐀π₯, . π’πšπ₯𝐚𝐑, . π…π«πšπ¬π’π§, . "On A Subclass of Analytic Functions Specified By Touchard Polynomials," International Journal of Neutrosophic Science, vol. , no. , pp. 123-131, 2025. DOI: https://doi.org/10.54216/IJNS.250312