### Abstract

In this paper, we introduce a new class Σ_{p}*(A,B,k)_{a,c} for -1 ≤ B < A ≤ 1 which consists of hypergeometric meromorphic functions of the form L_{p}* (a,c)f(z) = 1/ z^{p} + Σn=0∞ (a)n+2/(c)n+2a_{n+p}z^{n+p} in U* = [z: 0 < |z| < 1].We determine sufficient conditions, distortion properties, radii of starlikeness and convexity and inclusion properties for the class L_{p}*(a,c)f(z).

Original language | English |
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Pages (from-to) | 83-95 |

Number of pages | 13 |

Journal | Kragujevac Journal of Mathematics |

Volume | 42 |

Issue number | 1 |

Publication status | Published - 1 Jan 2018 |

### Fingerprint

### Keywords

- Convex functions
- Hadamard product
- Meromorphic functions
- P-valent hypergeometric functions
- Starlike functions

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Kragujevac Journal of Mathematics*,

*42*(1), 83-95.

**New subclass of multivalent hypergeometric meromorphic functions.** / Albehbah, M.; Darus, Maslina.

Research output: Contribution to journal › Article

*Kragujevac Journal of Mathematics*, vol. 42, no. 1, pp. 83-95.

}

TY - JOUR

T1 - New subclass of multivalent hypergeometric meromorphic functions

AU - Albehbah, M.

AU - Darus, Maslina

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this paper, we introduce a new class Σp*(A,B,k)a,c for -1 ≤ B < A ≤ 1 which consists of hypergeometric meromorphic functions of the form Lp* (a,c)f(z) = 1/ zp + Σn=0∞ (a)n+2/(c)n+2an+pzn+p in U* = [z: 0 < |z| < 1].We determine sufficient conditions, distortion properties, radii of starlikeness and convexity and inclusion properties for the class Lp*(a,c)f(z).

AB - In this paper, we introduce a new class Σp*(A,B,k)a,c for -1 ≤ B < A ≤ 1 which consists of hypergeometric meromorphic functions of the form Lp* (a,c)f(z) = 1/ zp + Σn=0∞ (a)n+2/(c)n+2an+pzn+p in U* = [z: 0 < |z| < 1].We determine sufficient conditions, distortion properties, radii of starlikeness and convexity and inclusion properties for the class Lp*(a,c)f(z).

KW - Convex functions

KW - Hadamard product

KW - Meromorphic functions

KW - P-valent hypergeometric functions

KW - Starlike functions

UR - http://www.scopus.com/inward/record.url?scp=85043387202&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85043387202&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85043387202

VL - 42

SP - 83

EP - 95

JO - Kragujevac Journal of Mathematics

JF - Kragujevac Journal of Mathematics

SN - 1450-9628

IS - 1

ER -