Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function

SWAMY, Swamy S R; YERRAGUNTA, Dr. Y Sailaja; BULUT, Serap

doi:10.15672/hujms.695858

Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function

S R SWAMY, (Department of Computer Science and Engineering, RV College of Engineering, Bengaluru - 560 059, Karnataka, India)

Serap BULUT, (Kocaeli Üniversitesi, Havacılık ve Uzay Bilimleri Fakültesi, Arslanbey Yerleşkesi, 41285 Kartepe, Kocaeli, Türkiye)

Sailaja YERRAGUNTA (Department of Mathematics, RV College of Engineering, Bengaluru - 560 059, Karnataka, India)

Hacettepe Journal of Mathematics and Statistics

2 1

Yıl: 2021 Cilt: 50 Sayı: 3 Sayfa Aralığı: 710 - 720 Metin Dili: İngilizce DOI: 10.15672/hujms.695858 İndeks Tarihi: 29-07-2022

Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function

Öz:

The aim of this paper is to introduce some special families of holomorphic andSu{a}lu{a}gean typebi-univalent functions by making use of Horadam polynomials involving the modified sigmoid activation function$phi(s)=frac{2}{1+e^{-s} },,sgeq0$ in the open unit disc $mathfrak{D}$.We investigate the upper bounds on initial coefficients for functions of the form $g_{phi}(z)=z+sumlimits_{j=2}^{infty}phi(s)d_jz^j$, in these newly introduced special families and also discuss the Fekete-Szegö problem. Some interesting consequences of the results established here are also indicated.

Anahtar Kelime: Fekete - Szegö inequality Horadam polynomials Holomorphic function modified sigmoid function Bi-univalent function

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	SWAMY S, BULUT S, YERRAGUNTA D (2021). Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. , 710 - 720. 10.15672/hujms.695858
Chicago	SWAMY Swamy S R,BULUT Serap,YERRAGUNTA Dr. Y Sailaja Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. (2021): 710 - 720. 10.15672/hujms.695858
MLA	SWAMY Swamy S R,BULUT Serap,YERRAGUNTA Dr. Y Sailaja Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. , 2021, ss.710 - 720. 10.15672/hujms.695858
AMA	SWAMY S,BULUT S,YERRAGUNTA D Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. . 2021; 710 - 720. 10.15672/hujms.695858
Vancouver	SWAMY S,BULUT S,YERRAGUNTA D Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. . 2021; 710 - 720. 10.15672/hujms.695858
IEEE	SWAMY S,BULUT S,YERRAGUNTA D "Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function." , ss.710 - 720, 2021. 10.15672/hujms.695858
ISNAD	SWAMY, Swamy S R vd. "Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function". (2021), 710-720. https://doi.org/10.15672/hujms.695858

APA	SWAMY S, BULUT S, YERRAGUNTA D (2021). Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. Hacettepe Journal of Mathematics and Statistics, 50(3), 710 - 720. 10.15672/hujms.695858
Chicago	SWAMY Swamy S R,BULUT Serap,YERRAGUNTA Dr. Y Sailaja Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. Hacettepe Journal of Mathematics and Statistics 50, no.3 (2021): 710 - 720. 10.15672/hujms.695858
MLA	SWAMY Swamy S R,BULUT Serap,YERRAGUNTA Dr. Y Sailaja Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. Hacettepe Journal of Mathematics and Statistics, vol.50, no.3, 2021, ss.710 - 720. 10.15672/hujms.695858
AMA	SWAMY S,BULUT S,YERRAGUNTA D Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 710 - 720. 10.15672/hujms.695858
Vancouver	SWAMY S,BULUT S,YERRAGUNTA D Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 710 - 720. 10.15672/hujms.695858
IEEE	SWAMY S,BULUT S,YERRAGUNTA D "Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function." Hacettepe Journal of Mathematics and Statistics, 50, ss.710 - 720, 2021. 10.15672/hujms.695858
ISNAD	SWAMY, Swamy S R vd. "Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function". Hacettepe Journal of Mathematics and Statistics 50/3 (2021), 710-720. https://doi.org/10.15672/hujms.695858