Symmetry (Dec 2021)

A Generalized Class of Functions Defined by the <i>q</i>-Difference Operator

  • Loriana Andrei,
  • Vasile-Aurel Caus

DOI
https://doi.org/10.3390/sym13122361
Journal volume & issue
Vol. 13, no. 12
p. 2361

Abstract

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The goal of the present investigation is to introduce a new class of analytic functions (Kt,q), defined in the open unit disk, by means of the q-difference operator, which may have symmetric or assymetric properties, and to establish the relationship between the new defined class and appropriate subordination. We derived relationships of this class and obtained sufficient conditions for an analytic function to be Kt,q. Finally, in the concluding section, we have taken the decision to restate the clearly-proved fact that any attempt to create the rather simple (p,q)-variations of the results, which we have provided in this paper, will be a rather inconsequential and trivial work, simply because the added parameter p is obviously redundant.

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