# On a class of analytic functions generated by fractional integral operator

Concrete Operators (2017)

- Volume: 4, Issue: 1, page 1-6
- ISSN: 2299-3282

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topRabha 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 -

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