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In this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered.
In this paper, we introduce and investigate a new subclass of the function class $$\Sigma $$ Σ of bi-univalent functions defined in the open unit disk, which are associated with the Sălăgean type q-difference operator and satisfy some subordination conditions. Furthermore, we find estimates on the Taylor–Maclaurin coefficients $$|a_{2}|$$ | a 2 | and $$|a_{3}|$$ | a 3 ...
In this paper, we investigate the upper bound associated with the second Hankel determinant $$H_{2}(2)$$ H2(2) for a certain class of bi-close-to-convex functions which we have introduced here. Several closely related results are also considered.
Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with ƒ(ξ) = ƒ0(ξ) − 1 = 0, ξ (|ξ| = d) is a fixed point in the open disc U = {z ∈ ℂ: |z| < 1}. In this paper we define a new subclass of starlike functions of complex order based on q-hypergeometric functions and continue to obtain coefficient estimates, extreme points, inclusion properties...
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