Radius Problems for Some Subclasses of Analytic Functions
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DOI: 10.1007/s11785-016-0584-x
Abstract: In this work, we define the class $${\mathcal {M}}(\alpha )$$M(α) of normalized analytic functions which satisfy the following two-sided inequality: $$\begin{aligned} 1+\frac{\alpha -\pi }{2\sin \alpha }< {{\mathfrak {R}}}{{\mathfrak {e}}}\left\{ \frac{zf'(z)}{f(z)}\right\} read more here.
Keywords: analytic functions; radius problems; problems subclasses; subclasses analytic ... See more keywords
An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
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DOI: 10.3390/axioms11060267
Abstract: The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions involving Gegenbauer polynomials. For… read more here.
Keywords: analytic univalent; univalent functions; subclasses analytic; garde construction ... See more keywords