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Published in 2019 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hujms.545237
Abstract: A function is said to be bi-univalent in the open unit disk $\mathbb{U}$ if both the function and its inverse map are univalent in $\mathbb{U}$. By the same token, a function is said to be…
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Keywords:
symmetric subordinate;
subordinate functions;
fold symmetric;
estimates fold ... See more keywords
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Published in 2023 at "Axioms"
DOI: 10.3390/axioms12010052
Abstract: In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of…
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Keywords:
coefficient estimates;
analytic functions;
estimates new;
new families ... See more keywords
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Published in 2021 at "Symmetry"
DOI: 10.3390/sym13101840
Abstract: By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce a…
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Keywords:
close convex;
meromorphic multivalent;
multivalent close;
convex functions ... See more keywords
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Published in 2021 at "Journal of Mathematical and Fundamental Sciences"
DOI: 10.5614/j.math.fund.sci.2021.53.1.4
Abstract: In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two…
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Keywords:
operator;
differential operator;
related chebyshev;
chebyshev polynomials ... See more keywords