Geometric properties of τ-confluent hypergeometric function
In the present investigation we first introduce normalized τ -confluent hypergeometric function φ τ ( a ; b ; z ) and then find sufficient conditions so that φ τ ( a ; b ; z ) have certain geometric properties like close-to-convexity and starlikeness in the open unit disk D . Upper bound of | φ τ (...
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| Veröffentlicht in: | Analysis and mathematical physics 2020-12, Vol.10 (4), Article 73 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the present investigation we first introduce normalized
τ
-confluent hypergeometric function
φ
τ
(
a
;
b
;
z
)
and then find sufficient conditions so that
φ
τ
(
a
;
b
;
z
)
have certain geometric properties like close-to-convexity and starlikeness in the open unit disk
D
. Upper bound of
|
φ
τ
(
a
;
b
;
z
)
|
and
|
φ
τ
(
a
;
b
;
z
)
′
|
are also determined. |
|---|---|
| ISSN: | 1664-2368 1664-235X |
| DOI: | 10.1007/s13324-020-00426-8 |