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We will provide sufficient conditions for the shifted hypergeometric function $$z_2F_1(a,b;c;z)$$z2F1(a,b;c;z) to be a member of a specific subclass of starlike functions in terms of the complex parameters a, b and… Click to show full abstract
We will provide sufficient conditions for the shifted hypergeometric function $$z_2F_1(a,b;c;z)$$z2F1(a,b;c;z) to be a member of a specific subclass of starlike functions in terms of the complex parameters a, b and c. For example, we study starlikeness of order $$\alpha ,$$α,$$\lambda $$λ-spirallikeness of order $$\alpha $$α and strong starlikeness of order $$\alpha .$$α. In particular, those properties lead to univalence of the shifted hypergeometric functions on the unit disk.
Keywords:
hypergeometric functions;
shifted hypergeometric;
properties shifted;
order alpha;
geometric properties
Journal Title: Complex Analysis and Operator Theory
Year Published: 2017
Link to full text (if available)
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Journal Title: Complex Analysis and Operator Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!