New Results about Fuzzy Differential Subordinations Associated with Pascal Distribution

Author:

El-Deeb Sheza M.1ORCID,Cotîrlă Luminiţa-Ioana2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

2. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

Based upon the Pascal distribution series Nq,λr,mΥ(ζ):=ζ+∑j=m+1∞j+r−2r−11+λ(j−1)qj−1(1−q)rajζj, we can obtain a set of fuzzy differential subordinations in this investigation. We also newly obtain class Pq,λF,r,mη of univalent analytic functions defined by the operator Nq,λr,m, give certain properties for the class Pq,λF,r,mη and also obtain some applications connected with a special case for the operator. New research directions can be taken on fuzzy differential subordinations associated with symmetry operators.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference13 articles.

1. Bulboaca, T. (2005). Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publishing.

2. Miller, S.S., and Mocanu, P.T. (2000). Differential Subordination: Theory and Applications, Marcel Dekker Inc.

3. Gal, S.G., and Ban, A.I. (1996). Elemente de Matematica Fuzzy, Editura Universitatea din Oradea.

4. The notation of subordination in fuzzy sets theory;Oros;Gen. Math.,2011

5. Fuzzy differential subordination;Oros;Acta Univ. Apulensis,2012

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