Book ChapterDOI
A q-Starlike Class of Harmonic Meromorphic Functions Defined by q-Derivative Operator
Rhayza Hayuarsi Sekar Sagita Sagita
- pp 257-269
TLDR
In this article , a subclass of harmonic meromorphic functions associated with q-calculus operator is introduced, and various interesting properties of this class, like, the coefficients bounds, distortion theorems, extreme points, convolution, convex combinations.Abstract:
In this present work, we introduces a subclass of harmonic meromorphic functions associated with q-calculus operator. With that, we study various interesting properties of this class, like, the coefficients bounds, distortion theorems, extreme points, convolution, convex combinations. Further, q-integral operator is also defined and we show that the new class aforementioned is closed under this q-derivative operator. read more
References
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Book
Basic Hypergeometric Series
George Gasper,Mizan Rahman +1 more
TL;DR: In this article, the Askey-Wilson q-beta integral and some associated formulas were used to generate bilinear generating functions for basic orthogonal polynomials.
Journal ArticleDOI
XI.—On q -Functions and a certain Difference Operator
TL;DR: In this paper, the properties of a certain operative symbol which appears to be of great utility in discussing q-functions are investigated, and the first part of the paper will consist of an investigation into the various forms ofand the nature of the inverse operations symbolised by Δ−n.
Journal ArticleDOI
Operators of Basic (or q-) Calculus and Fractional q-Calculus and Their Applications in Geometric Function Theory of Complex Analysis
TL;DR: In this article, the authors define the subclasses of normalized analytic functions with complex order and negative coefficients and derive their associated coefficient estimates, radii of close-to-convexity, starlikeness and convexity.
Journal ArticleDOI
Generalized q -Baskakov operators
Ali Aral,Vijay Gupta +1 more
TL;DR: In this paper, a generalization of the Baskakov operator based on q integers is proposed and the rate of convergence in the weighted norm is also studied, where shape preserving properties and the property of monotonicity of q-Baskakov operators are discussed.
Journal ArticleDOI
On the Durrmeyer type modification of the q-Baskakov type operators
Ali Aral,Vijay Gupta +1 more
TL;DR: In this paper, the authors deal with Durrmeyer type generalization of q -Baskakov type operators using the concept of q-integral, which introduces a new sequence of positive q -integral operators and show that this sequence is an approximation process in the polynomial weighted space of continuous functions defined on the interval [ 0, ∞ ).
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