<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, we determine properties of the coefficients of the integral operator <italic>Gα</italic>1, <italic>α</italic>2,...,<italic>αn</italic>,<italic>β</italic> . We want to see if some results obtained on the interior unit disk can be extended on the exterior unit disk, so we make use of the usual transformation <inline-formula>
<alternatives>
<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_gm-2023-0001_eq_001.png"></inline-graphic>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>g</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mo>=</mo><mfrac><mn>1</mn><mrow><mi>f</mi><mrow><mo>(</mo><mrow><mfrac><mn>1</mn><mi>z</mi></mfrac></mrow><mo>)</mo></mrow></mrow></mfrac></mrow></math>
<tex-math>g\left( z \right) = {1 \over {f\left( {{1 \over z}} \right)}}</tex-math>
</alternatives>
</inline-formula>.
</abstract>

In this paper, we determine properties of the coefficients of the integral operator Gα1, α2,...,αn,β . We want to see if some results obtained on the interior unit disk can be extended on the exterior unit disk, so we make use of the usual transformation 


g(z)=1f(1z)
g\left( z \right) = {1 \over {f\left( {{1 \over z}} \right)}}

.

Properties of the coefficients of an integral operator

Faculty of Mathematics and Computer Science Department of Mathematics

“1 Decembrie 1918” University of Alba Iulia

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Properties of the coefficients of an integral operator"}

In this paper, we determine properties of the coefficients of the integral operator Gα1, α2,...,αn,β . We want to see if some results obtained on the interior...

Properties of the coefficients of an integral operator

Published Online: Nov 24, 2023

Page range: 3 - 10

Received: Jan 07, 2023

Accepted: Feb 16, 2023

DOI: https://doi.org/10.2478/gm-2023-0001

Keywords
univalent functions, analytic functions, integral operators, exterior unit disk

© 2023 Oana M. Pârva et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Properties of the coefficients of an integral operator

Published Online: Nov 24, 2023

Page range: 3 - 10

Received: Jan 07, 2023

Accepted: Feb 16, 2023

DOI: https://doi.org/10.2478/gm-2023-0001

Keywordsunivalent functions, analytic functions, integral operators, exterior unit disk

© 2023 Oana M. Pârva et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
univalent functions, analytic functions, integral operators, exterior unit disk