Results 91 to 100 of about 7,251 (222)

Criteria for Strongly Starlike Functions [PDF]

open access: yesISRN Geometry, 2011
Let f(z) be analytic in the unit disk U={z:|z|<1} with f(0)=f'(0)-1=0 and (f(z)/z)f'(z)≠0. By using the method of differential subordinations, we determine the largest number α(β,λ,μ,m) such that, for some β,λ,μ, and m, the differential subordination λzf'(z)/f(z)1-μ1+(zf''(z)/f'(z))-zf'(z)/f(z)+zf'(z)/f(z)m≺1+z/1-zα(β,λ,μ,m)(z∈U) implies zf'(z)/f(z)≺
openaire   +2 more sources

Certain subclasses of starlike functions, II

open access: yesJournal of Mathematical Analysis and Applications, 1991
See the preview in Zbl 0724.30007.
Srivastava, H.M., Owa, Shigeyoshi
openaire   +1 more source

Growth results for a subclass of Bazilevič functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
For α>0, let B(α) be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike function g(z)≡z gives a proper subclass B1(α) of B(α).
Rabha Md. El-Ashwah, D. K. Thomas
doaj   +1 more source

Study of quantum calculus for a new subclass of q-starlike bi-univalent functions connected with vertical strip domain

open access: yesAIMS Mathematics
In this study, using the ideas of subordination and the quantum-difference operator, we established a new subclass $ \mathcal{S} ^{\ast }\left(\delta, \sigma, q\right) $ of $ q $-starlike functions and the subclass $ \mathcal{S}_{\Sigma }^{\ast }\left ...
Ahmad A. Abubaker   +4 more
doaj   +1 more source

On α-convex functions of order β

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class.
Seiichi Fukui
doaj   +1 more source

On starlike harmonic functions

open access: yes, 2019
Uniformly starlike univalent functions introduced by Goodman and we develop this idea over harmonic functions. We introduce a subclass of harmonic univalent functions which are fully starlike and uniformly starlike also. In the following we will mention some examples of this subclass and obtain two necessary and sufficient conditions, one with the ...
NOSRATİ, S., ZİREH, A.
openaire   +2 more sources

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