In our present investigation, with the help of basic (or q-) calculus, we first define a new domain which involves Janowski function. We also subclass class q-starlike functions, maps open unit disk U, given by U= z:z?C and z <1, onto this generalized conic type domain. study here some such potentially useful results as, for example, sufficient conditions, closure results, Fekete-Szegö inequ...

Abstract In this paper we study some properties of functions f which are analytic and normalized (i.e. $$f(0)=0=f'(0)-1$$ f ( 0 ) = ′ - 1 ) such ...

A breakthrough paper written in 1993 by Shub and Smale unveiled the relationship between stable polynomials and points which minimize the discrete logarithmic energy on the Riemann sphere (a.k.a. elliptic Fekete points). This relationship has inspired advances in the study of both concepts, many of whose main properties are not well known yet. In this paper I prove an equivalent formulation for...

In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of newly defined and class analytic bi-univalent functions associated q-derivative operator. Furthermore, find initial Taylor–Maclaurin coefficients for these function classes functions. also show that bounds are sharp. The sharp second Hankel determinant is given class.

On the line and its tensor products, Fekete points are known to be the Gauss–Lobatto quadrature points. But unlike high-order quadrature, Fekete points generalize to non-tensor-product domains such as the triangle. Thus Fekete points might serve as an alternative to the Gauss–Lobatto points for certain applications. In this work we present a new algorithm to compute Fekete points and give resul...

Deux théorèmes fondamentaux de la théorie constructive des fonctions d’une variable complexe sont à l’origine de mes travaux; deux théorèmes que l’on voudrait généraliser aux fonctions de plusieurs variables. Le premier (Walsh, 1933) donne les conditions sur un tableau de points A = (an,k) – dans un compact plan E suffisamment régulier – pour que toute fonction analytique f au voisinage de E so...

In this article, by making use of the q-Srivastava-Attiya operator, we introduce and investigate a new family SWΣ(δ,γ,λ,s,t,q,r) normalized holomorphic bi-univalent functions in open unit disk U, which are associated with Bazilevič λ-pseudo-starlike as well Horadam polynomials. We estimate second third coefficients Taylor-Maclaurin expansions belonging to function class, here. Furthermore, esta...