In this study, by using the concepts of subordination, we define a new family RM,N,λ,γ starlike functions complex order γ connected with cardioid domain. The main contribution article consists derivations sharp inequality, considering belonging to in U. Particularly, bounds first two Taylor–Maclaurin coefficients, estimates Fekete–Szegö-type functionals, and coefficient inequalities are investi...

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’...

We show that a well-known asymptotic series for the logarithm of central binomial coefficient is strictly enveloping in sense P\'olya and Szeg\"o, so error incurred truncating same sign as next term, bounded magnitude by term. consider closely related Binet's function, $\ln\Gamma(z+1/2)$, Riemann-Siegel theta make some historical remarks.

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...

The Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of the Fekete points in the sphere. The way we proceed is by showing their connection with other array of points, the Marcinkiewicz-Z...

We discuss and compare two greedy algorithms, that compute discrete versions of Fekete-like points for multivariate compact sets by basic tools of numerical linear algebra. The first gives the so-called “Approximate Fekete Points” by QR factorization with column pivoting of Vandermonde-like matrices. The second computes Discrete Leja Points by LU factorization with row pivoting. Moreover, we st...

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...

We construct a pointwise Boutet de Monvel-Sj\"ostrand parametrix for the Szeg\H{o} kernel of weakly pseudoconvex three dimensional CR manifold finite type assuming range its tangential operator to be closed; thereby extending earlier analysis Christ. This particularly extends Fefferman's boundary asymptotics Bergman domains in $\mathbb{C}^{2}$, agreement with D'Angelo's example. Finally our res...

Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of Fekete points in the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called Marcinkiewicz-...