Differential subordinations and superordinations for generalized bessel functions

Huda A. Al-Kharsani; Árpád Baricz; Kottakkaran S. Nisar

doi:10.4134/BKMS.2016.53.1.127

Differential subordinations and superordinations for generalized bessel functions

Huda A. Al-Kharsani
, Árpád Baricz
, Kottakkaran S. Nisar

Mathematics

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

9 Scopus citations

Abstract

Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

Original language	English
Pages (from-to)	127-138
Number of pages	12
Journal	Bulletin of the Korean Mathematical Society
Volume	53
Issue number	1
DOIs	https://doi.org/10.4134/BKMS.2016.53.1.127
State	Published - 2016

Keywords

Differential sub-ordination
Differential superordination
Generalized bessel functions
Libera integral operator
Loewner chain
Sandwich type results
Univalent functions

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10.4134/BKMS.2016.53.1.127

Cite this

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title = "Differential subordinations and superordinations for generalized bessel functions",

abstract = "Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.",

keywords = "Differential sub-ordination, Differential superordination, Generalized bessel functions, Libera integral operator, Loewner chain, Sandwich type results, Univalent functions",

author = "Al-Kharsani, \{Huda A.\} and {\'A}rp{\'a}d Baricz and Nisar, \{Kottakkaran S.\}",

note = "Publisher Copyright: {\textcopyright} 2016 Korean Mathematical Society.",

year = "2016",

doi = "10.4134/BKMS.2016.53.1.127",

language = "English",

volume = "53",

pages = "127--138",

journal = "Bulletin of the Korean Mathematical Society",

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T1 - Differential subordinations and superordinations for generalized bessel functions

AU - Al-Kharsani, Huda A.

AU - Baricz, Árpád

AU - Nisar, Kottakkaran S.

PY - 2016

Y1 - 2016

N2 - Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

AB - Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

KW - Differential sub-ordination

KW - Differential superordination

KW - Generalized bessel functions

KW - Libera integral operator

KW - Loewner chain

KW - Sandwich type results

KW - Univalent functions

UR - https://www.scopus.com/pages/publications/84955565450

U2 - 10.4134/BKMS.2016.53.1.127

DO - 10.4134/BKMS.2016.53.1.127

M3 - Article

AN - SCOPUS:84955565450

SN - 1015-8634

VL - 53

SP - 127

EP - 138

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 1

ER -

Differential subordinations and superordinations for generalized bessel functions

Abstract

Keywords

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