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;
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 Certain Subclass of Analytic Functions Defined by Touchard Polynomials
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DOI: 10.3390/sym14040838
Abstract: This paper focuses on the establishment of a new subfamily of analytic functions including Touchard polynomials. Then, we attempt to obtain geometric properties such as coefficient inequalities, distortion properties, extreme points, radii of starlikeness and… read more here.
Keywords: subclass analytic; touchard polynomials; analytic functions; defined touchard ... See more keywords