In recent years, the usage of q -derivative and symmetric id="M4"> operators is significant. this study, firstly, many known concepts id="M5"> operator are highlighted given. We then use id="M6"> certain id="M7"> -Chebyshev polynomials to define a new subclass analytic bi-univalent functions. For newly defined functions’...

The motivation of the present article is to define (p−q)-Wanas operator in geometric function theory by symmetric nature quantum calculus. We also initiate and explore certain new families holormorphic bi-univalent functions AE(λ,σ,δ,s,t,p,q;ϑ) SE(μ,γ,σ,δ,s,t,p,q;ϑ) which are defined unit disk U associated with operator. upper bounds for initial Taylor–Maclaurin coefficients Fekete–Szegö-type i...

In this paper, we define a new family of q-starlike and q-convex functions related to the cardioid domain utilizing ideas subordination Sălăgean quantum differential operator. The primary contribution article is derivation sharp inequality for newly established subclasses in open unit disc U. For novel family, bounds first two Taylor–Maclaurin coefficients, Fekete–Szegö-type functional, coeffic...

A new class of point-interaction problem characterizing the time evolution of spatially localized spots for reaction-diffusion (RD) systems on the surface of the sphere is introduced and studied. This problem consists of a differential algebraic system (DAE) of ODE’s for the locations of a collection of spots on the sphere, and is derived from an asymptotic analysis in the large diffusivity rat...

In this article, we introduce a new class of multivalent analytic functions associated with petal-shape region. Furthermore, some useful properties, such as the Fekete–Szegö inequality, and their consequences for special cases are discussed. For specific value function f, obtain sufficient conditions starlike connected domain. Finally, in concluding section, draw attention interested readers to...

Virtual environments have shown great promise as a research tool in science and engineering. In this paper we study a classical problem in mathematics: that of approximating globally optimal Fekete point configurations. We found a highly interactive virtual environment, combined with a time-critical computation, can provide valuable insight into the symmetry and stability of Fekete point config...