Journal ArticleDOI
Coefficient Estimate of bi-Bazilevič Functions Associated with Fractional q-calculus Operators
TLDR
Two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with fractional q−calculus operators, satisfying subordinate conditions are introduced and investigated.Abstract:
In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with fractional q−calculus operators, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.read more
Citations
More filters
Journal ArticleDOI
Bi-Bazilevič functions based on the Mittag-Leffler-type Borel distribution associated with Legendre polynomials
TL;DR: In this article, a new class of bi-Bazilevic functions defined in the open unit disc associated with Legendre polynomials is introduced, and the Fekete-Szego problem is solved.
Journal ArticleDOI
Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions
TL;DR: In this paper, the authors present several new geometric properties of analytic functions by applying the differential subordination, and find upper bounds for coefficients of functions in class $\mathcal{B}_\Sigma^{q,\mu}(\beta,\lambda,h)$ which is defined by fractional $q$-calculus operators.
Journal ArticleDOI
Coefficient bounds for M-fold symmetric analytic bi-Bazilevič functions using by Faber polynomial expansion
F. Müge Sakar,H. Özlem Güney +1 more
TL;DR: In this article, the Taylor Maclaurin coefficients of the class on m-fold symmetric bi-Bazilevic functions were determined and the Faber Polynomial expansions were used to obtain these coefficient estimates associated with upper bounds.
References
More filters
Book
Applications Of Fractional Calculus In Physics
TL;DR: An introduction to fractional calculus can be found in this paper, where Butzer et al. present a discussion of fractional fractional derivatives, derivatives and fractal time series.
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.
BookDOI
Advances in Fractional Calculus
TL;DR: In this paper, the skin effect (SE) model is evaluated and the results demonstrate its fractional-order nature, and the authors propose a fractional calculus approach to solve the SE problem.
Book
Fractional Calculus for Scientists and Engineers
TL;DR: This book gives a practical overview of Fractional Calculus as it relates to Signal Processing in the context of Signal Processing.
Journal ArticleDOI
Certain subclasses of analytic and bi-univalent functions
TL;DR: Two interesting subclasses of normalized analytic and univalent functions in the open unit disk whose inverse has univalently analytic continuation to U is introduced and investigated.