Mahmood Shahid, Arif Muhammad, Malik Sarfraz Nawaz
Department of Mechanical Engineering, Sarhad University of Science & I. T, Landi Akhun Ahmad, Hayatabad Link. Ring Road, Peshawar, Pakistan.
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan.
J Inequal Appl. 2017;2017(1):259. doi: 10.1186/s13660-017-1535-4. Epub 2017 Oct 17.
The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, integral preserving properties of these functions.
努尔和马利克(《计算机数学及其应用》62:2209 - 2217,2011年)引入的将单位开圆盘映射到花瓣型和卵形区域的解析函数,被用于定义和研究它们相关的近于凸函数。这项工作包括某些几何性质,如充分性准则、系数估计、弧长、泰勒级数系数的增长率以及这些函数的积分保持性质。