Solvability of a New q-Differential Equation Related to q-Differential Inequality of a Special Type of Analytic Functions

Ibtisam Aldawish, Rabha W. Ibrahim
2021 Fractal and Fractional  
The current study acts on the notion of quantum calculus together with a symmetric differential operator joining a special class of meromorphic multivalent functions in the puncher unit disk. We formulate a quantum symmetric differential operator and employ it to investigate the geometric properties of a class of meromorphic multivalent functions. We illustrate a set of differential inequalities based on the theory of subordination and superordination. In this real case study, we found the
more » ... tic solutions of q-differential equations. We indicate that the solutions are given in terms of confluent hypergeometric function of the second type and Laguerre polynomial.
doi:10.3390/fractalfract5040228 fatcat:75nhvwoebjbf7jm2m4kne3nqre