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.
@article{bwmeta1.element.doi-10_1515_conop-2017-0001,
author = {Rabha W. Ibrahim},
title = {On a class of analytic functions generated by fractional integral operator},
journal = {Concrete Operators},
volume = {4},
year = {2017},
pages = {1-6},
zbl = {06707577},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_conop-2017-0001}
}
Rabha W. Ibrahim. On a class of analytic functions generated by fractional integral operator. Concrete Operators, Tome 4 (2017) pp. 1-6. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_conop-2017-0001/