Geometric Properties of the Shifted Hypergeometric Functions

Toshiyuki Sugawa; Li Mei Wang

doi:10.1007/s11785-017-0674-4

Geometric Properties of the Shifted Hypergeometric Functions

Toshiyuki Sugawa, Li Mei Wang

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1879-1893
Number of pages	15
Journal	Complex Analysis and Operator Theory
Volume	11
Issue number	8
DOIs	https://doi.org/10.1007/s11785-017-0674-4
Publication status	Published - 2017 Dec 1

Keywords

Hypergeometric functions
Spirallike function
Strongly starlike function
Subordination

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.1007/s11785-017-0674-4

Fingerprint Dive into the research topics of 'Geometric Properties of the Shifted Hypergeometric Functions'. Together they form a unique fingerprint.

Cite this

@article{6e0fd98f0ab84fc49d1bc636c496e783,

title = "Geometric Properties of the Shifted Hypergeometric Functions",

abstract = "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.",

keywords = "Hypergeometric functions, Spirallike function, Strongly starlike function, Subordination",

author = "Toshiyuki Sugawa and Wang, {Li Mei}",

year = "2017",

month = dec,

day = "1",

doi = "10.1007/s11785-017-0674-4",

language = "English",

volume = "11",

pages = "1879--1893",

journal = "Complex Analysis and Operator Theory",

issn = "1661-8254",

publisher = "Birkhauser Verlag Basel",

number = "8",

}

TY - JOUR

T1 - Geometric Properties of the Shifted Hypergeometric Functions

AU - Sugawa, Toshiyuki

AU - Wang, Li Mei

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

UR - http://www.scopus.com/inward/record.url?scp=85017416834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85017416834&partnerID=8YFLogxK

U2 - 10.1007/s11785-017-0674-4

DO - 10.1007/s11785-017-0674-4

M3 - Article

AN - SCOPUS:85017416834

VL - 11

SP - 1879

EP - 1893

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

SN - 1661-8254

IS - 8

ER -

Geometric Properties of the Shifted Hypergeometric Functions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this