Exploring a distinct group of analytical functions linked with Bernoulli's Lemniscate using the q-derivative [PDF]
HeliyonThis research presents a new group of mathematical functions connected to Bernoulli's Lemniscate, using the q-derivative. Expanding on previous studies, the research concentrates on determining coefficient approximations, the Fekete-Szego functional ...
Isra Al-Shbeil +3 more
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Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions [PDF]
HeliyonThis study introduces a new class of bi-univalent functions in the open disk using q-Borel distribution series and q-Gegenbauer polynomials. It provides estimates for the Taylor coefficients |μ2| and |μ3| for this family of functions, as well as ...
T. Al-Hawary +5 more
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An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions [PDF]
HeliyonThe Mittag-Leffler-type Borel distribution is widely recognized and utilized as a beneficial and pertinent model across numerous applications. This study presents a new subclass of normalized analytic bi-univalent functions that combines Gegenbauer ...
Abdulmtalb Hussen
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The Miller-Ross Poisson distribution and its applications to certain classes of bi-univalent functions related to Horadam polynomials [PDF]
HeliyonWithin the scope of this research, we introduce a novel category of bi-univalent functions. Horadam polynomials are utilized to characterize these functions by utilizing series from the Poisson distribution of the Miller-Ross type.
Omar Alnajar +4 more
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Mathematics, 2023 Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
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Coefficient problems for classes Hq (φ) and Lq (φ) [PDF]
ITM Web of Conferences, 2021 A class of analytic functions is denoted by M. Furthermore, S⸦M includes of analytic, normalized and univalent functions. The main -subclasses of S are starlike functions, S and convex functions, S* .
Janteng Aini, Liew Andy Pik Hern
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Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination
Demonstratio Mathematica, 2023 In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination.
Shah Syed Ghoos Ali +6 more
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Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their ...
Sarfraz Nawaz Malik +3 more
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Some Properties of Bazilevič Functions Involving Srivastava–Tomovski Operator
Axioms, 2022 We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization of the Mittag-Leffler function. The family of functions introduced here is superordinated by a conic domain, which is impacted by the Janowski function.
Daniel Breaz +3 more
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A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator
Axioms, 2023 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.
Daniel Breaz +3 more
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