On Convex Functions with Complex Order Through Bounded Boundary Rotation

S. Melike Aydoğan; F. Müge Sakar

doi:10.1007/s11786-019-00405-8

On Convex Functions with Complex Order Through Bounded Boundary Rotation

S. Melike Aydoğan^*, F. Müge Sakar

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Batman University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

Özet

Let F be the class of functions f(z) = z+ a₂z²+ ⋯ which are analytic in D= { z: | z| < 1 } and satisfies the condition 1+1bzf′′(z)f′(z)=pt(z),(b≠0,b∈C,z∈D)where pt(z)=(t4+12)p1(z)-(t4-12)p2(z), t≥ 2 , p₁(z) , p₂(z) ∈ P. P is the class of analytic functions with the positive real part (Caratheodory class) then this function will be called convex function by means of bounded boundary rotation and denoted by K(t, b). In this present paper, we will introduce this class and its some properties.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	433-439
Sayfa sayısı	7
Dergi	Mathematics in Computer Science
Hacim	13
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s11786-019-00405-8
Yayın durumu	Yayınlandı - 1 Eyl 2019

Bibliyografik not

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Finansman

The work presented here by first-named author is supported by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number: TGA-2018-41339. The work presented here by first-named author is supported by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number: TGA-2018-41339.

Finansörler	Finansör numarası
Istanbul Technical University Scientific Research Project Coordination Unit
Istanbul Teknik Üniversitesi	TGA-2018-41339

Belgeye Erişim

10.1007/s11786-019-00405-8

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On Convex Functions with Complex Order Through Bounded Boundary Rotation",

abstract = "Let F be the class of functions f(z) = z+ a2z2+ ⋯ which are analytic in D= { z: | z| < 1 } and satisfies the condition 1+1bzf′′(z)f′(z)=pt(z),(b≠0,b∈C,z∈D)where pt(z)=(t4+12)p1(z)-(t4-12)p2(z), t≥ 2 , p1(z) , p2(z) ∈ P. P is the class of analytic functions with the positive real part (Caratheodory class) then this function will be called convex function by means of bounded boundary rotation and denoted by K(t, b). In this present paper, we will introduce this class and its some properties.",

keywords = "Analytic function, Coefficient estimates, Convex function, Radius of starlikeness",

author = "Aydoğan, {S. Melike} and Sakar, {F. M{\"u}ge}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

month = sep,

day = "1",

doi = "10.1007/s11786-019-00405-8",

language = "English",

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T1 - On Convex Functions with Complex Order Through Bounded Boundary Rotation

AU - Aydoğan, S. Melike

AU - Sakar, F. Müge

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N2 - Let F be the class of functions f(z) = z+ a2z2+ ⋯ which are analytic in D= { z: | z| < 1 } and satisfies the condition 1+1bzf′′(z)f′(z)=pt(z),(b≠0,b∈C,z∈D)where pt(z)=(t4+12)p1(z)-(t4-12)p2(z), t≥ 2 , p1(z) , p2(z) ∈ P. P is the class of analytic functions with the positive real part (Caratheodory class) then this function will be called convex function by means of bounded boundary rotation and denoted by K(t, b). In this present paper, we will introduce this class and its some properties.

AB - Let F be the class of functions f(z) = z+ a2z2+ ⋯ which are analytic in D= { z: | z| < 1 } and satisfies the condition 1+1bzf′′(z)f′(z)=pt(z),(b≠0,b∈C,z∈D)where pt(z)=(t4+12)p1(z)-(t4-12)p2(z), t≥ 2 , p1(z) , p2(z) ∈ P. P is the class of analytic functions with the positive real part (Caratheodory class) then this function will be called convex function by means of bounded boundary rotation and denoted by K(t, b). In this present paper, we will introduce this class and its some properties.

KW - Analytic function

KW - Coefficient estimates

KW - Convex function

KW - Radius of starlikeness

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U2 - 10.1007/s11786-019-00405-8

DO - 10.1007/s11786-019-00405-8

M3 - Article

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SN - 1661-8270

VL - 13

SP - 433

EP - 439

JO - Mathematics in Computer Science

JF - Mathematics in Computer Science

IS - 3

ER -

On Convex Functions with Complex Order Through Bounded Boundary Rotation

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

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Alıntı Yap