A new general integral operator

Güney, H. Özlem; Sakar, F. Müge; Bulut, Serap

doi:10.12988/ijma.2016.59242

ijma

2016

DOI: 10.12988/ijma.2016.59242

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A new general integral operator

H. Özlem Güney¹,

F. Müge Sakar²,

Serap Bulut³

Abstract: In this paper, we define a new general integral operator for certain analytic and p-valent functions in the unit disc U. Using this integral operator, we obtain many known integral operators.

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Geometric Properties for Integro-Differential Operator Involving the Pre-Schwarzian Derivative

Abdulnaby¹,

Kılıçman²,

Ibrahim³

2016

Int. J. of Pure and Appl. Math.

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Recently, the study of operators theory (differential, integral, integro-differential) has been increased. It appears widely in the geometric function theory, to create some generalized subclasses of analytic functions. In this effort, we introduce a generalized integrodifferential operator Jm(z) and obtain its properties by utilizing the pre-Schwarzian derivative.Applications are illustrated, based on fractional calculus in the sequel.

show abstract

Geometric Properties for Integro-Differential Operator Involving the Pre-Schwarzian Derivative

Abdulnaby¹,

Kılıçman²,

Ibrahim³

2016

Int. J. of Pure and Appl. Math.

View full text Add to dashboard Cite

show abstract

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A new general integral operator

Abstract: In this paper, we define a new general integral operator for certain analytic and p-valent functions in the unit disc U. Using this integral operator, we obtain many known integral operators.

Cited by 1 publication

References 4 publications

Geometric Properties for Integro-Differential Operator Involving the Pre-Schwarzian Derivative

Geometric Properties for Integro-Differential Operator Involving the Pre-Schwarzian Derivative

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