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Volume 28, Issue 1
A Remark on Certain Differential Inequalities Involving $p$-Valent Functions

Sukhwinder Singh Billing

Anal. Theory Appl., 28 (2012), pp. 58-64.

Published online: 2012-03

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  • Abstract

In the present paper, we study certain differential inequalities involving $p$-valent functions and obtain sufficient conditions for uniformly $p$-valent starlikeness and uniformly $p$-valent convexity. We also offer a correct version of some known criteria for uniformly $p$-valent starlike and uniformly $p$-valent convex functions.

  • AMS Subject Headings

30C80, 30C45

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COPYRIGHT: © Global Science Press

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@Article{ATA-28-58, author = {Sukhwinder Singh Billing}, title = {A Remark on Certain Differential Inequalities Involving $p$-Valent Functions}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {1}, pages = {58--64}, abstract = {

In the present paper, we study certain differential inequalities involving $p$-valent functions and obtain sufficient conditions for uniformly $p$-valent starlikeness and uniformly $p$-valent convexity. We also offer a correct version of some known criteria for uniformly $p$-valent starlike and uniformly $p$-valent convex functions.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2012.v28.n1.7}, url = {http://global-sci.org/intro/article_detail/ata/4541.html} }
TY - JOUR T1 - A Remark on Certain Differential Inequalities Involving $p$-Valent Functions AU - Sukhwinder Singh Billing JO - Analysis in Theory and Applications VL - 1 SP - 58 EP - 64 PY - 2012 DA - 2012/03 SN - 28 DO - http://doi.org/10.4208/ata.2012.v28.n1.7 UR - https://global-sci.org/intro/article_detail/ata/4541.html KW - $p$-valent function, uniformly starlike function, uniformly convex function, uniformly close-to-convex function. AB -

In the present paper, we study certain differential inequalities involving $p$-valent functions and obtain sufficient conditions for uniformly $p$-valent starlikeness and uniformly $p$-valent convexity. We also offer a correct version of some known criteria for uniformly $p$-valent starlike and uniformly $p$-valent convex functions.

Sukhwinder Singh Billing. (2012). A Remark on Certain Differential Inequalities Involving $p$-Valent Functions. Analysis in Theory and Applications. 28 (1). 58-64. doi:10.4208/ata.2012.v28.n1.7
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