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Convex and starlike criteria [PDF]
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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This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi+2 more
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The coefficients of starlike functions [PDF]
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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Let S ∗ [ α ] {\mathcal {S}^\ast }[\alpha ] denote the class of functions f ( z ) = z + ∑ n = 2 ∞
Carl P. McCarty
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Starlike Hypergeometric Functions [PDF]
E. P. Merkes, W. T. Scott
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On the Coefficients of Starlike Functions [PDF]
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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AbstractIn this note we determine which of the trees homeomorphic to a star have a spectrum consisting entirely of integers. We also specify the integral double stars, and we consider the problem of trees with more complicated structure.Subject classification (Amer. Math. Soc. (MOS) 1970): 05 C 05.
Mamoru Watanabe, Allen J. Schwenk
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Quasi-starlike functions [PDF]
Izydor Dziubiński
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SOME CRITERIA FOR STARLIKENESS AND STRONGLY STARLIKENESS [PDF]
The authors discuss on certain sufficient conditions for starlikeness and strongly starlikeness of analytic functions in the unit disk. Their results generalise and refine known results of \textit{J.-L. Li} and \textit{S. Owa} [Indian J. Pure Math. 33, 313--318 (2002; Zbl 0998.30010), Georgian Math. J. 5, 361--366 (1998; Zbl 0924.30008)] and of \textit{
Yang Dinggong, Xu Neng
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