Results 191 to 200 of about 3,329 (222)

The order of starlikeness of some classes of strongly starlike functions

Quaestiones Mathematicae, 2017
In this paper we consider the order of strongly starlikeness for functions in Silverman's class Gb and in the generalized Mocanu's class M (α, β1, β2). Some previous results are improved.Mathematics Subject Classification (2010): Primary 30C45; Secondary 30C80.Keywords: Analytic, starlike, convex, strongly starlike ...
Liu, Jin-Lin, Srivastava, Rekha
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Gamma-starlike functions

1976
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 53-58 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 53-58 ; streszcz. pol., ros.
Lewandowski, Zdzisław (1929-2011), Miller, Sanford S., Złotkiewicz, Eligiusz   +2 more
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On the order of strongly starlikeness in some classes of starlike functions

Acta Mathematica Hungarica, 2014
Let \(\mathcal A\) be the class of all analytic functions \(f\) in the unit disk \(\mathbb D\), of the form \(f(z)=z+\sum_{n=2}^\infty a_nz^n\) and \(\mathcal S\) the class of all univalent functions in \(\mathcal A\). Let \[ \mathcal G_b:=\{f\in\mathcal A:\left| \frac{1+zf''(z)/f'(z)}{zf'(z)/f(z)}-1\right|
Nunokawa, M., Sokół, J., Trąbka-Wiȩcław, K.   +2 more
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Sufficient Conditions for Starlikeness and Strong-starlikeness of a Given Order

Complex Variables, Theory and Application: An International Journal, 2003
We find sharp upper bounds for $ \vert \,f^{\prime \prime }(z)/f^{\prime }(z) \vert $ such that the function f be starlike or strongly-starlike of a given order, where f is holomorphic in the unit disc U , with $ f(0)=f^{\prime }(0)-1=0 $ . These bounds are obtained by using the differential subordination technique. As a useful ingredient we obtain the
Valeriu Anisiu, Petru T. Mocanu, Ioan Şerb   +2 more
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The order of starlikeness of the class of uniformly starlike functions

Mathematische Nachrichten, 2016
We investigate classes of k‐uniformly starlike functions which generalize the class UST introduced by Goodman in 1991. Obtained results enable us to solve the problem of finding the largest such that the class of k‐uniformly starlike functions is contained in the class of starlike functions of order α.
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On starlike functions

1976
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 65-70 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 65-70 ; streszcz. pol., ros.
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Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions

Boletin De La Sociedad Matematica Mexicana, 2021
Virendra Kumar, Sushil Kumar, Kumar Virendra   +2 more
exaly  

On a family of starlike functions

1972
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 175-181 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 175-181 ; streszcz. pol., ros.
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Hankel determinants for starlike and convex functions associated with sigmoid functions

Forum Mathematicum, 2022
Mohsan Raza, D K Thomas
exaly  

Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha

Bulletin of the Malaysian Mathematical Sciences Society, 2021
Bogumiła Kowalczyk, Adam Lecko, Lecko Adam   +2 more
exaly