In the present work, we define two new families of analytic and m-fold symmetric biunivalent functions in open unit disk $\Delta$. Also, for each classes introduced here, prove upper bounds initial coefficients $\left|b_{m+1}\right|$ $\left|b_{2 m+1}\right|$. Furthermore, get special cases our results.

By making use of the concept basic (or q-) calculus, many subclasses analytic and symmetric q-starlike functions have been defined studied from different viewpoints perspectives. In this article, we introduce a new class meromorphic multivalent close-to-convex with help q-differential operator. Furthermore, investigate some useful properties such as sufficiency criteria, coefficient estimates, ...

In the present paper, authors introduce and investigates two new subclasses and, of class k-fold bi-univalent functions in open unit disk. The initial coefficients for all that belong to them were determined, as well a field determining these requires complicated process. bounds are contained among remaining results our analysis obtained. addition, some specific special improver related classes...

In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, establish bounds initial coefficients υ2, υ3, and υ4 Taylor–Maclaurin series that Fekete–Szegö functional associated with classes, give many consequences our findings.

A general simulation procedure is described to validate model fitting algorithms for complex likelihood functions that are utilized in periodic cancer screening trials. Although screening programs have existed for a few decades, there are still many unsolved problems, such as how age or hormone affects the screening sensitivity, the sojourn time in the preclinical state, and the transition prob...