Applications of Borel distribution series on holomorphic and bi-univalent functions
Mathematica Moravica, Tome 25 (2021) no. 2.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In present manuscript, we introduce and study two families $\mathcal{B}_{\Sigma}(\lambda,\delta;\alpha)$ and $\mathcal{B}_{\Sigma}^{*}(\lambda,\delta;\beta)$ of holomorphic and bi-univalent functions which involve the Borel distribution series. We establish upper bounds for the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in each of these families. We also point out special cases and consequences of our results.
Mots-clés : Holomorphic functions, Bi-univalent functions, Borel distribution series, Coefficient bounds. 
@article{MM3_2021_25_2_a8,
     author = {Abbas Kareem Wanas and Adnan Ghazy Al Amoush},
     title = {Applications of {Borel} distribution series on holomorphic and bi-univalent functions},
     journal = {Mathematica Moravica},
     pages = {97 - 107},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2021},
     url = {https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a8/}
}
TY  - JOUR
AU  - Abbas Kareem Wanas
AU  - Adnan Ghazy Al Amoush
TI  - Applications of Borel distribution series on holomorphic and bi-univalent functions
JO  - Mathematica Moravica
PY  - 2021
SP  - 97 
EP  -  107
VL  - 25
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a8/
ID  - MM3_2021_25_2_a8
ER  - 
%0 Journal Article
%A Abbas Kareem Wanas
%A Adnan Ghazy Al Amoush
%T Applications of Borel distribution series on holomorphic and bi-univalent functions
%J Mathematica Moravica
%D 2021
%P 97 - 107
%V 25
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a8/
%F MM3_2021_25_2_a8
Abbas Kareem Wanas; Adnan Ghazy Al Amoush. Applications of Borel distribution series on holomorphic and bi-univalent functions. Mathematica Moravica, Tome 25 (2021) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a8/