On a class of analytic functions generated by fractional integral operator

Rabha W. Ibrahim. "On a class of analytic functions generated by fractional integral operator." Concrete Operators 4.1 (2017): 1-6. <http://eudml.org/doc/288084>.

@article{RabhaW2017,
abstract = {In this note, we improve the idea of the Tsallis entropy in a complex domain. This improvement is contingent on the fractional operator in a complex domain (type Alexander). We clarify some new classes of analytic functions, which are planned in view of the geometry function theory. This category of entropy is called fractional entropy; accordingly, we demand them fractional entropic geometry classes. Other geometric properties are established in the sequel. Our exhibition is supported by the Maxwell Lemma and Jack Lemma.},
author = {Rabha W. Ibrahim},
journal = {Concrete Operators},
keywords = {Fractional calculus; Fractional entropy; Analytic function; Subordination and superordination; fractional calculus; fractional entropy; subordination; star-like function},
language = {eng},
number = {1},
pages = {1-6},
title = {On a class of analytic functions generated by fractional integral operator},
url = {http://eudml.org/doc/288084},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Rabha W. Ibrahim
TI - On a class of analytic functions generated by fractional integral operator
JO - Concrete Operators
PY - 2017
VL - 4
IS - 1
SP - 1
EP - 6
AB - In this note, we improve the idea of the Tsallis entropy in a complex domain. This improvement is contingent on the fractional operator in a complex domain (type Alexander). We clarify some new classes of analytic functions, which are planned in view of the geometry function theory. This category of entropy is called fractional entropy; accordingly, we demand them fractional entropic geometry classes. Other geometric properties are established in the sequel. Our exhibition is supported by the Maxwell Lemma and Jack Lemma.
LA - eng
KW - Fractional calculus; Fractional entropy; Analytic function; Subordination and superordination; fractional calculus; fractional entropy; subordination; star-like function
UR - http://eudml.org/doc/288084
ER -