Abstract
In this article, we employ the expressions \( \frac{f'(z)}{z^{p-1}}-(p-\lambda )\frac{f(z)}{z^{p}}\) and \(\frac{1}{ p}\frac{f''(z)}{z^{p-2}}-(1-\frac{\lambda +1}{p})\frac{ f'(z)}{z^{p-1}}\), \({\small 0<\lambda \le p}\) to obtain some simple sufficient conditions for p-valent starlikeness and convexity. The main object of this article is to present some interesting applications of these sufficiency criteria.
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Haq, W.U., Raza, M. & Sokół, J. Some Sufficient Conditions for a Function to be \(\varvec{p}\)-Valent Starlike or Convex. Results Math 72, 2157–2164 (2017). https://doi.org/10.1007/s00025-017-0714-4
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DOI: https://doi.org/10.1007/s00025-017-0714-4