Results 211 to 220 of about 11,604 (224)

Biased estimates of phylogenetic branch lengths resulting from the discretised Gamma model of site rate heterogeneity

open access: yes
Ferretti L   +7 more
europepmc   +1 more source

Certain Results on Starlike and Parabolic Starlike Functions [PDF]

open access: possibleInternational Journal of Open Problems in Computer Science and Mathematics, 2015
Using the technique of differential subordination, we obtain certain results for starlike and parabolic starlike functions involving the differential operator zf ′(z) f(z) ( 1 + α zf ′′(z) f ′(z) ) . We study the above operator for multivalent functions and also conclude some results for univalent functions.
Richa Brar, Sukhwinder Singh Billing
openaire   +1 more source

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.
openaire   +2 more sources

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 ...
Rekha Srivastava, Jin-Lin Liu
openaire   +2 more sources

Simple criterions for strongly starlikeness and starlikeness of certain order

Mathematische Nachrichten, 2003
AbstractIn this paper, we will give a sufficient condition for locally univalent holomorphic functions on the unit disc . in C to be strongly starlike. Also, we will give sufficient conditions for locally biholomorphic mappings on the unit ball B in a complex Banach space X to be starlike of certain order or strongly starlike.
Hidetaka Hamada   +2 more
openaire   +2 more sources

Shrinking Starlike Sets

2021
Abstract ‘Shrinking Starlike Sets’ presents a proof that null decompositions with recursively starlike-equivalent elements shrink. Unlike in previous chapters, the shrink is produced abstractly rather than explicitly. The chapter proceeds in steps, first establishing the shrinking of null decompositions with starlike elements, then of ...
Meier, J., Orson, P., Ray, A.
openaire   +2 more sources

On the order of strongly starlikeness in some classes of starlike functions

Acta Mathematica Hungarica, 2014
We consider the order of strongly starlikeness in the class of analytic functions f, f(0) = 0, f' (0) = 1, such that $$\left|\frac{1 + zf^{\prime\prime}(z)/f^{\prime}(z)}{zf^{\prime}(z)/f(z)} - 1\right| < b \quad {\rm for} \quad z \in \mathbb{D}$$ . We consider also the same problem for α-convex functions of order β.
K. Tra̧bka-wiȩcław   +2 more
openaire   +2 more sources

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