Abstract
In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class.
Highlights
Muhammad Ghaffar Khan,1 Bakhtiar Ahmad,2 Nazar Khan,3 Wali Khan Mashwani,1 Sama Arjika,4,5 Bilal Khan,6 and Ronnason Chinram 7
We introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions
Let A represent the collections of holomorphic functions f defined in the open unit disc: RðpðzÞÞ > 0, ð3Þ
Summary
Muhammad Ghaffar Khan ,1 Bakhtiar Ahmad ,2 Nazar Khan,3 Wali Khan Mashwani ,1 Sama Arjika ,4,5 Bilal Khan,6 and Ronnason Chinram 7. We discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class. Function f of form (2) belongs to the class S∗1⁄2A, B if zf ′ðzÞ f ðzÞ
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