### Abstract

This paper is emphasizing on the new analytic odd function defined using Salagean differential operator H(m, z) in the open unit disc. The main objective is to study the ratio of the function H(m, z) to its sequence of partial sum. Also, to determine the sharp upper bound for Re {H(m, z)/H_{n} (m, z)}, Re {H_{n} (m, z)/H(m, z)}, Re {H′(m, z)/H′_{n} (m, z)} and Re {H′_{n} (m, z)/H′(m, z)}.

Original language | English |
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Article number | 012001 |

Journal | Journal of Physics: Conference Series |

Volume | 1212 |

Issue number | 1 |

DOIs | |

Publication status | Published - 10 May 2019 |

Event | 14th International Symposium on Geometric Function Theory and Applications, GFTA 2018 - Selangor, Malaysia Duration: 3 Dec 2018 → 5 Dec 2018 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Physics: Conference Series*,

*1212*(1), [012001]. https://doi.org/10.1088/1742-6596/1212/1/012001

**Partial sum of analytic odd function defined by salagean differential operator.** / Pauzi, M. N.M.; Darus, Maslina; Siregar, S.

Research output: Contribution to journal › Conference article

*Journal of Physics: Conference Series*, vol. 1212, no. 1, 012001. https://doi.org/10.1088/1742-6596/1212/1/012001

}

TY - JOUR

T1 - Partial sum of analytic odd function defined by salagean differential operator

AU - Pauzi, M. N.M.

AU - Darus, Maslina

AU - Siregar, S.

PY - 2019/5/10

Y1 - 2019/5/10

N2 - This paper is emphasizing on the new analytic odd function defined using Salagean differential operator H(m, z) in the open unit disc. The main objective is to study the ratio of the function H(m, z) to its sequence of partial sum. Also, to determine the sharp upper bound for Re {H(m, z)/Hn (m, z)}, Re {Hn (m, z)/H(m, z)}, Re {H′(m, z)/H′n (m, z)} and Re {H′n (m, z)/H′(m, z)}.

AB - This paper is emphasizing on the new analytic odd function defined using Salagean differential operator H(m, z) in the open unit disc. The main objective is to study the ratio of the function H(m, z) to its sequence of partial sum. Also, to determine the sharp upper bound for Re {H(m, z)/Hn (m, z)}, Re {Hn (m, z)/H(m, z)}, Re {H′(m, z)/H′n (m, z)} and Re {H′n (m, z)/H′(m, z)}.

UR - http://www.scopus.com/inward/record.url?scp=85066333504&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066333504&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1212/1/012001

DO - 10.1088/1742-6596/1212/1/012001

M3 - Conference article

AN - SCOPUS:85066333504

VL - 1212

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012001

ER -