SOME COEFFICIENT INEQUALITIES FOR BAZILEVIC FUNCTIONS IN A SECTOR

Sa’Adatul Fitri; Derek K. Thomas; Ratno Bagus Edy Wibowo

SOME COEFFICIENT INEQUALITIES FOR BAZILEVIC FUNCTIONS IN A SECTOR

Sa’Adatul Fitri^*
, Marjono
, Derek K. Thomas
, Ratno Bagus Edy Wibowo

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

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

1 Citation (Scopus)

Abstract

Let be analytic in with, and for and, let, denote the class of Bazilevič functions satisfying . We give sharp estimates for various coefficient problems for functions in, which unify and extend well-known results for the class of Bazilevič functions, and hence starlike functions, Strongly starlike functions and functions whose derivative has positive real part in D.

Original language	English
Pages (from-to)	191-208
Number of pages	18
Journal	Indian Journal of Mathematics
Volume	62
Issue number	2
Publication status	Published - Aug 2020

Keywords

Bazilevic functions
coefficient estimates
strongly starlike functions

Cite this

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title = "SOME COEFFICIENT INEQUALITIES FOR BAZILEVIC FUNCTIONS IN A SECTOR",

abstract = "Let be analytic in with, and for and, let, denote the class of Bazilevi{\v c} functions satisfying . We give sharp estimates for various coefficient problems for functions in, which unify and extend well-known results for the class of Bazilevi{\v c} functions, and hence starlike functions, Strongly starlike functions and functions whose derivative has positive real part in D.",

keywords = "Bazilevic functions, coefficient estimates, strongly starlike functions",

author = "Sa{\textquoteright}Adatul Fitri and Marjono and Thomas, \{Derek K.\} and \{Edy Wibowo\}, \{Ratno Bagus\}",

note = "Publisher Copyright: {\textcopyright} 2020 Allahabad Mathematical Society",

year = "2020",

month = aug,

language = "English",

volume = "62",

pages = "191--208",

journal = "Indian Journal of Mathematics",

issn = "0019-5324",

publisher = "Allahabad Mathematical Society",

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T1 - SOME COEFFICIENT INEQUALITIES FOR BAZILEVIC FUNCTIONS IN A SECTOR

AU - Fitri, Sa’Adatul

AU - Marjono,

AU - Thomas, Derek K.

AU - Edy Wibowo, Ratno Bagus

PY - 2020/8

Y1 - 2020/8

N2 - Let be analytic in with, and for and, let, denote the class of Bazilevič functions satisfying . We give sharp estimates for various coefficient problems for functions in, which unify and extend well-known results for the class of Bazilevič functions, and hence starlike functions, Strongly starlike functions and functions whose derivative has positive real part in D.

AB - Let be analytic in with, and for and, let, denote the class of Bazilevič functions satisfying . We give sharp estimates for various coefficient problems for functions in, which unify and extend well-known results for the class of Bazilevič functions, and hence starlike functions, Strongly starlike functions and functions whose derivative has positive real part in D.

KW - Bazilevic functions

KW - coefficient estimates

KW - strongly starlike functions

UR - https://www.scopus.com/pages/publications/85131557943

M3 - Article

AN - SCOPUS:85131557943

SN - 0019-5324

VL - 62

SP - 191

EP - 208

JO - Indian Journal of Mathematics

JF - Indian Journal of Mathematics

IS - 2

ER -

SOME COEFFICIENT INEQUALITIES FOR BAZILEVIC FUNCTIONS IN A SECTOR

Abstract

Keywords

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