The Miller-Ross Poisson distribution and its applications to certain classes of bi-univalent functions related to Horadam polynomials

被引：1

作者：

Alnajar, Omar ^{[1
]}

Ogilat, Osama ^{[2
]}

Amourah, Ala ^{[3
]}

Darus, Maslina ^{[1
]}

Alatawi, Maryam Salem ^{[4
]}

机构：

[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Malaysia

[2] Al Ahliyya Amman Univ, Fac Arts & Sci, Dept Basic Sci, Amman 19328, Jordan

[3] Sohar Univ, Fac Educ & Arts, Math Educ Program, Sohar 3111, Oman

[4] Univ Tabuk, Fac Sci, Dept Math, Tabuk 71491, Saudi Arabia

来源：

HELIYON | 2024年 / 10卷 / 07期

关键词：

Poisson distribution series; Horadam polynomials; Bi-univalent functions; Analytic functions; Fekete-Szeg & ouml; problem; SUBCLASSES;

D O I：

10.1016/j.heliyon.2024.e28302

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Within the scope of this research, we introduce a novel category of bi-univalent functions. Horadam polynomials are utilized to characterize these functions by utilizing series from the Poisson distribution of the Miller -Ross type. Functions from these new categories have been used to construct estimates for the Fekete-Szego functional, as well as estimates of the Taylor -Maclaurin coefficients |1 2 | and |1 3 |. These projections were created for the methods in each of these brandnew subclasses. We made some additional discoveries after, focusing on the traits that contributed to our initial findings.

引用

页数：8

共 50 条

[21] Applications of Lucas-balancing polynomials on a certain families of bi-univalent functions
Wanas, Abbas Kareem
Ghali, Zainab Swayeh
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024,
[22] Horadam polynomials for a new family of λ-pseudo bi-univalent functions associated with Sakaguchi type functions
Wanas, Abbas Kareem
AFRIKA MATEMATIKA, 2021, 32 (5-6) : 879 - 889
[23] Fekete-Szego inequality for analytic and bi-univalent functions subordinate to Horadam polynomials
Amourah, Ala
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 241 - 250
[24] Certain subclasses of bi-univalent functions defined by Chebyshev polynomials
Sivasankari, V.
Karthiyayini, O.
Magesh, N.
AFRIKA MATEMATIKA, 2021, 32 (1-2) : 89 - 103
[25] Fekete-Szegö inequality for analytic and bi-univalent functions subordinate to Horadam polynomials
Amourah, Ala
Italian Journal of Pure and Applied Mathematics, 2022, 48 : 241 - 250
[26] Certain subclasses of bi-univalent functions defined by Chebyshev polynomials
V. Sivasankari
O. Karthiyayini
N. Magesh
Afrika Matematika, 2021, 32 : 89 - 103
[27] Coefficient estimates for certain classes of meromorphic bi-univalent functions
Hamidi, Samaneh G.
Janani, T.
Murugusundaramoorthy, G.
Jahangiri, Jay M.
COMPTES RENDUS MATHEMATIQUE, 2014, 352 (04) : 277 - 282
[28] INITIAL BOUNDS FOR CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY THE (p, q)-LUCAS POLYNOMIALS
Magesh, N.
Abirami, C.
Altinkaya, S.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (01): : 282 - 288
[29] (p, g)-CHEBYSHEV POLYNOMIALS AND THEIR APPLICATIONS TO BI-UNIVALENT FUNCTIONS
Amourah, A.
Abdelkarim, H.
Alelaumi, A.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (02): : 481 - 486
[30] A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials
Akgul, Arzu
Sakar, F. Muge
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (05) : 2275 - 2286

← 1 2 3 4 5 →