Abstract
A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.
Highlights
In recent years, q-analysis has attracted the interest of scholars because of its numerous applications in mathematics and physics
Several authors published a set of articles [3,4,5,6,7,8,9,10,11,12,13] in which they concentrated upon the classes of q-starlike functions related to the Janowski functions [14] from some different aspects
A recently published survey-cum-expository review paper by Srivastava [15] is very useful for scholars working on these topics
Summary
Q-analysis has attracted the interest of scholars because of its numerous applications in mathematics and physics. Several authors published a set of articles [3,4,5,6,7,8,9,10,11,12,13] in which they concentrated upon the classes of q-starlike functions related to the Janowski functions [14] from some different aspects. Srivastava [15] gave certain mathematical explanation and addressed applications of the fractional q-derivative operator in Geometric Function Theory. A function f (z) ∈ Mp is said to be the meromorphic p-valent starlike function of order σ if. A function φ(z) is said to be in the class P[A, B], if it is analytic in D with φ(0) = 1 and φ(z).
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