Upper and lower bounds of integral operator defined by the fractional hypergeometric function

Rabha W. Ibrahim; Muhammad Zaini Ahmad; Hiba F. Al-Janaby

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

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In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristics of these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditions for subordination and superordination are illustrated.

How to cite

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Rabha W. Ibrahim, Muhammad Zaini Ahmad, and Hiba F. Al-Janaby. "Upper and lower bounds of integral operator defined by the fractional hypergeometric function." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/275989>.

@article{RabhaW2015,
abstract = {In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristics of these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditions for subordination and superordination are illustrated.},
author = {Rabha W. Ibrahim, Muhammad Zaini Ahmad, Hiba F. Al-Janaby},
journal = {Open Mathematics},
keywords = {Analytic function; Univalent function; Fractional integral operator; Subordination; Superordination; fractional hypergeometric function; Unit disk},
language = {eng},
number = {1},
pages = {null},
title = {Upper and lower bounds of integral operator defined by the fractional hypergeometric function},
url = {http://eudml.org/doc/275989},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Rabha W. Ibrahim
AU - Muhammad Zaini Ahmad
AU - Hiba F. Al-Janaby
TI - Upper and lower bounds of integral operator defined by the fractional hypergeometric function
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristics of these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditions for subordination and superordination are illustrated.
LA - eng
KW - Analytic function; Univalent function; Fractional integral operator; Subordination; Superordination; fractional hypergeometric function; Unit disk
UR - http://eudml.org/doc/275989
ER -

References

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