Coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains defined by error function

S. O. Olatunji; Hemen Dutta; S. O. Olatunji; Hemen Dutta

doi:10.3934/math.2020166

AIMS Mathematics

2020, Volume 5, Issue 3: 2526-2538. doi: 10.3934/math.2020166

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Research article

Coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains defined by error function

S. O. Olatunji ¹,
Hemen Dutta ^{2
,
,}

1.
Department of Mathematical Sciences, Federal University of Technology, Akure, P. M. B. 704, Ondo State, Nigeria
2.
Department of Mathematics, Gauhati University, Guwahati-781014, India

Received: 17 September 2019 Accepted: 02 February 2020 Published: 10 March 2020
MSC : 30C45, 33C10, 30C20, 30C50, 30C75

Pseudo is a force applied on a function to show the positive or negative effect of it on a class of function defined. The paper aims to investigate the coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains defined by error function. The early few coefficient bounds were obtained and relevant connection to Fekete-Szegö inequalities have also been derived. The results are new and several other results can be deduced easily from the main findings.
- analytic function,
- univalent function,
- starlike function,
- convex function,
- Fekete-Szegö inequalities,
- error function,
- Pseudo,
- Petal type domain
Citation: S. O. Olatunji, Hemen Dutta. Coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains defined by error function[J]. AIMS Mathematics, 2020, 5(3): 2526-2538. doi: 10.3934/math.2020166

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Abstract

Pseudo is a force applied on a function to show the positive or negative effect of it on a class of function defined. The paper aims to investigate the coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains defined by error function. The early few coefficient bounds were obtained and relevant connection to Fekete-Szegö inequalities have also been derived. The results are new and several other results can be deduced easily from the main findings.

References

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