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Volume 34, Issue 2
Coefficient Inequalities for $p$-Valent Functions

T. Panigrahi & R. N. Mohapatra

DOI: 10.4208/ata.2018.v34.n2.2

Anal. Theory Appl., 34 (2018), pp. 112-126.

Published online: 2018-07

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  • Abstract

In the present paper, the authors introduce a new subclass of $p$-valent analytic functions with complex order defined on the open unit disk $\mathbb{U}=\{z:z∈\mathbb{C}\ \text{and}\ |z|<1\}$ and obtain coefficient inequalities for the functions in these classes. Applications of these results for the functions defined by the convolution are also obtained.

  • Keywords

$p$-valent function, subordination, coefficient inequalities, convolution.

  • AMS Subject Headings

30C45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-34-112, author = {T. Panigrahi and R. N. Mohapatra}, title = {Coefficient Inequalities for $p$-Valent Functions}, journal = {Analysis in Theory and Applications}, year = {2018}, volume = {34}, number = {2}, pages = {112--126}, abstract = {

In the present paper, the authors introduce a new subclass of $p$-valent analytic functions with complex order defined on the open unit disk $\mathbb{U}=\{z:z∈\mathbb{C}\ \text{and}\ |z|<1\}$ and obtain coefficient inequalities for the functions in these classes. Applications of these results for the functions defined by the convolution are also obtained.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2018.v34.n2.2}, url = {http://global-sci.org/intro/article_detail/ata/12580.html} }
TY - JOUR T1 - Coefficient Inequalities for $p$-Valent Functions AU - T. Panigrahi & R. N. Mohapatra JO - Analysis in Theory and Applications VL - 2 SP - 112 EP - 126 PY - 2018 DA - 2018/07 SN - 34 DO - http://doi.org/10.4208/ata.2018.v34.n2.2 UR - https://global-sci.org/intro/article_detail/ata/12580.html KW - $p$-valent function, subordination, coefficient inequalities, convolution. AB -

In the present paper, the authors introduce a new subclass of $p$-valent analytic functions with complex order defined on the open unit disk $\mathbb{U}=\{z:z∈\mathbb{C}\ \text{and}\ |z|<1\}$ and obtain coefficient inequalities for the functions in these classes. Applications of these results for the functions defined by the convolution are also obtained.

T. Panigrahi and R. N. Mohapatra. (2018). Coefficient Inequalities for $p$-Valent Functions. Analysis in Theory and Applications. 34 (2). 112-126. doi:10.4208/ata.2018.v34.n2.2
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