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The coefficients of starlike functions [PDF]
Proceedings of the American Mathematical Society, 1969 disc. The proof of the local maximum theory for the coefficients of univalent functions by Bombieri [2] and by Garabedian and Schiffer [3] gives strength to the conjecture that these dn exist, but no estimate of their size is available from these papers.
J. A. Hummel
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Proceedings of the American Mathematical Society, 1974 Let S ∗ [ α ] {\mathcal {S}^\ast }[\alpha ] denote the class of functions f ( z ) = z + ∑ n = 2 ∞
Carl P. McCarty
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Hankel and Toeplitz determinant for a subclass of multivalent q-starlike functions of order α
AIMS Mathematics, 2021 In this paper our aim is to study some valuable problems dealing with newly defined subclass of multivalent $q$-starlike functions. These problems include the initial coefficient estimates, Toeplitz matrices, Hankel determinant, Fekete-Szego problem ...
Huo Tang +3 more
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On the Coefficients of Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1972 Every probability measure μ \mu on the circle group generates a function f that is starlike univalent on the open unit disc Δ \Delta . In this note the relationship between ( c n ) ({c_n}) , the Fourier-Stieltjes coefficients of
Finbarr Holland
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The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form 𝑓(𝑧)=𝑧ℎ(𝑧)𝑔(𝑧) defined on the open unit disc 𝑈.
Maisarah Haji Mohd, Maslina Darus
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A New Measure of Quantum Starlike Functions Connected with Julia Functions
Journal of Function Spaces, 2022 In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential
Samir B. Hadid +2 more
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Convex and starlike criteria [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.
Herb Silverman
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AIMS Mathematics, 2021 In this paper, we first investigate some subclasses of q-starlike functions. We then apply higher-order q-derivative operators to introduce and study a new subclass of q-starlike functions, which involves the Janowski functions.
Muhammad Sabil Ur Rehman +5 more
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Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function
Journal of Function Spaces, 2021 The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D=z∈ℂ ...
Khalil Ullah +4 more
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