On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
نویسندگان
چکیده
منابع مشابه
On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
Recommended by Teodor Bulboac˘ a The authors define a new subclass of A of functions involving complex order in the open unit disk U. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.
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0 ∣∣∣∣Reh(z)− ρ 1− ρ ∣∣∣∣ dθ ≤ kπ, z = re, where k > 2 and 0 ≤ ρ < 1. This class was introduced by Padmanabhan et al. in [9]. We note that Pk(0) = Pk, see Pinchuk [11], P2(ρ) = P (ρ), the class of analytic functions with positive real part greater than ρ and P2(0) = P, the class of functions with positive real part. From (1.2) we can easily deduce that h(z) ∈ Pk(ρ) if, and only if, there exists...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2009
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2009/989603