Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials
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In this paper, by making use of Borel distribution we introduce a new family GΣ(δ, γ, λ, τ, r) of normalized analytic and bi-univalent functions in the open unit disk U, which are associated with Horadam polynomials. We establish upper bounds for the initial Taylor-Maclaurin coefficients |a2| and |a3| of functions belonging to the analytic and bi-univalent function family which we have introduced here. Furthermore, we establish the Fekete-Szego problem of functions in this new family.
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2017 ◽
Vol 21
(2)
◽
pp. 275-285
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2021 ◽
Vol 66
(4)
◽
pp. 659-666
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2021 ◽
Vol 39
(4)
◽
pp. 153-164
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