Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution

Abstract

This article introduces a new operator defined by the convolution of the Poisson distribution series and the generalized Mittag-Leffler function. Applying this operator, we study a novel subclass of analytic functions using the technique of fuzzy differential subordination. Also, we prove some significant results related to the fuzzy differential relation for this novel class. These results are applied to particular functions to showcase the significance of our findings.

Keywords:

• Analytic functions
• fuzzy differential subordination
• Mittag-Leffler function
• open unit disk
• poisson distribution

Acknowledgement(s)

The authors are thankful to the Vice Chancellors of Fatima Jinnah Women University and University of the Gambia for providing excellent research and academic environment.

Disclosure statement

The authors declare no conflicts of interest.

Notes on contributor(s)

The authors worked jointly and equally on this manuscript. All the authors approved the final version of the manuscript.

Additional information

Funding

There is no external funding available for this article.