On fourth Hankel determinant for functions associated with Bernoulli's lemniscate

M. ARİF; Sadaf UMAR; Mohsan RAZA; Teodor BULBOACA; Muhammad Umar FAROOQ; Hasan KHAN

doi:https://doi.org/10.15672/hujms.535246

Makale detayları

On fourth Hankel determinant for functions associated with Bernoulli's lemniscate

Yazarlar:

M. ARİF | Sadaf UMAR | Mohsan RAZA | Teodor BULBOACA | Muhammad Umar FAROOQ | Hasan KHAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 5, pp.1777-1787

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000450962

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.535246

Özet:

 


The aim of this paper is to find an upper bound of the fourth Hankel determinant H4(1)H4(1)H_{4}(1) for a subclass of analytic functions associated with the right half of the Bernoulli's lemniscate of the form (x2+y2)2−2(x2−y2)=0(x2+y2)2−2(x2−y2)=0\left(x^{2}+y^{2}\right) ^{2}-2\left( x^{2}-y^{2}\right) =0. The problem is also discussed for 2-fold and 3-fold symmetric functions. The key tools in the proof of our main results are the coefficient inequalities for class PP\mathcal{P} of functions with positive real part.

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Makale detayları

On fourth Hankel determinant for functions associated with Bernoulli's lemniscate

Yazarlar: M. ARİF | Sadaf UMAR | Mohsan RAZA | Teodor BULBOACA | Muhammad Umar FAROOQ | Hasan KHAN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 5, pp.1777-1787

Belge Tipi: Makale

Yayın Tarihi: 10/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000450962

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.535246

Sayı

Yazarlar:

M. ARİF | Sadaf UMAR | Mohsan RAZA | Teodor BULBOACA | Muhammad Umar FAROOQ | Hasan KHAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 5, pp.1777-1787

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000450962

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.535246