Results on Linear Operators Associated with Pascal Distribution Series for a Certain Class of Normalized Analytic Functions
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DOI: 10.3390/math13071053
Abstract: In this study, we establish sufficient conditions for determining when linear operators related to the Pascal distribution series belong to various subclasses of univalent functions. Our findings are based on applying a coefficient bound from… read more here.
Keywords: distribution series; analytic functions; linear operators; pascal distribution ... 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
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