TY - JOUR
T1 - Geometric Properties of the Shifted Hypergeometric Functions
AU - Sugawa, Toshiyuki
AU - Wang, Li Mei
N1 - Publisher Copyright:
© 2017, Springer International Publishing.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - We will provide sufficient conditions for the shifted hypergeometric function 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 α, λ-spirallikeness of order α and strong starlikeness of order α. In particular, those properties lead to univalence of the shifted hypergeometric functions on the unit disk.
AB - We will provide sufficient conditions for the shifted hypergeometric function 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 α, λ-spirallikeness of order α and strong starlikeness of order α. In particular, those properties lead to univalence of the shifted hypergeometric functions on the unit disk.
KW - Hypergeometric functions
KW - Spirallike function
KW - Strongly starlike function
KW - Subordination
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U2 - 10.1007/s11785-017-0674-4
DO - 10.1007/s11785-017-0674-4
M3 - Article
AN - SCOPUS:85017416834
SN - 1661-8254
VL - 11
SP - 1879
EP - 1893
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 8
ER -