A new subclass of analytic functions
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DOI: 10.15672/hujms.549313
Abstract: In the present paper, we introduce a class $\mathcal{B}_\theta(\alpha,\beta)$ of functions, analytic in $|z| 1$. Integral representation, differential subordination results and coefficient estimates are considered. Also Fekete-Szego coefficient functional associated with the $k$--th root transform… read more here.
Keywords: new subclass; analytic functions; subclass analytic;
A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator
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DOI: 10.3390/axioms12020172
Abstract: We introduce a comprehensive subfamily of analytic and bi-univalent functions in this study using Horadam polynomials and the q-analog of the Noor integral operator. We establish upper bounds for the absolute values of the second… read more here.
Keywords: univalent functions; integral operator; new subclass; functions defined ... See more keywords
Second Hankel Determinant for a New Subclass of Bi-Univalent Functions Related to the Hohlov Operator
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DOI: 10.3390/axioms12050433
Abstract: A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained. In… read more here.
Keywords: univalent functions; new subclass; hohlov operator; subclass univalent ... See more keywords
Exploiting the Pascal Distribution Series and Gegenbauer Polynomials to Construct and Study a New Subclass of Analytic Bi-Univalent Functions
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DOI: 10.3390/sym14010147
Abstract: In the present analysis, we aim to construct a new subclass of analytic bi-univalent functions defined on symmetric domain by means of the Pascal distribution series and Gegenbauer polynomials. Thereafter, we provide estimates of Taylor–Maclaurin… read more here.
Keywords: new subclass; subclass analytic; analytic univalent; distribution series ... See more keywords
On a New Subclass of q-Starlike Functions Defined in q-Symmetric Calculus
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DOI: 10.3390/sym15020334
Abstract: Geometric function theory combines geometric tools and their applications for information and communication analysis. It is also successfully used in the field of advanced signals, image processing, machine learning, speech and sound recognition. Various new… read more here.
Keywords: new subclass; starlike functions; defined symmetric; functions defined ... See more keywords
Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle
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DOI: 10.3390/sym15051109
Abstract: In the real world, there are many applications that find the Pascal distribution to be a useful and relevant model. One of these is the normal distribution. In this work, we develop a new subclass… read more here.
Keywords: univalent functions; new subclass; distribution series; pascal distribution ... See more keywords
Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers
Sign Up to like & getrecommendations! Published in 2020 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1910-41
Abstract: In this investigation, by using a relation of subordination, we define a new subclass of analytic bi-univalent functions associated with the Fibonacci numbers. Moreover, we survey the bounds of the coefficients for functions in this… read more here.
Keywords: univalent functions; bounds new; fibonacci numbers; subclass univalent ... See more keywords