Results 81 to 90 of about 7,251 (222)

On the Fekete-Szegö problem

International Journal of Mathematics and Mathematical Sciences, 2000
Let f(z)=z+a2z2+a3z3+⋯ be an analytic function in the open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ≥1.
B. A. Frasin, Maslina Darus
doaj   +1 more source

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.
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Coefficient estimates for some classes of functions associated with \(q\)-function theory

, 2017
In this paper, for every $q\in(0,1)$, we obtain the Herglotz representation theorem and discuss the Bieberbach type problem for the class of $q$-convex functions of order $\alpha, 0\le ...
Agrawal, Sarita
core  

Successive Coefficients of Starlike Functions [PDF]

Bulletin of the London Mathematical Society, 1978
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135462/1/blms0193 ...
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First-order differential subordinations associated with Carathéodory functions

AIMS Mathematics
In the present paper, we investigated some conditions to be in the class of Carathéodory functions by using the concept of the first-order differential subordinations.
Inhwa Kim, Young Jae Sim, Nak Eun Cho
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Univalent and Starlike Properties for Generalized Struve Function

International Journal of Mathematics and Mathematical Sciences, 2016
We derive conditions on the parameters p, b, and c so that the function zwp,b,c(z), where wp,b,c(z) is the normalized form of generalized Struve function, belongs to the class S1⁎(α). Also, some sufficient conditions for the function zwp,b,c(z), to be in
Aaisha Farzana Habibullah, Adolf Stephen Bhaskaran, Jeyaraman Muthusamy Palani   +2 more
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The Radii of Starlikeness for Concave Functions [PDF]

, 2022
Munirah Rossdy, Rashidah Omar, Shaharuddin Cik Soh   +2 more
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Integral operator and starlike functions

Computers & Mathematics with Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Coefficient inequalities for certain subclass of starlike function with respect to symmetric points related with q-exponential function

NUML International Journal of Engineering and Computing
The purpose of the present work is to define a class of star-like function with respect to symmetrical points in the domain of exponential functions related to the q-exponential functions.
Zameer Abbas
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Convex and Starlike Meromorphic Functions [PDF]

Proceedings of the American Mathematical Society, 1980
In this paper we study meromorphic univalent functions with a simple pole at p which map the unit disk onto the exterior of convex sets or the exterior of starlike sets. A question raised by Libera and Livingston concerning the equality of two classes of starlike meromorphic univalent functions is answered. We show that the set of points omitted by the
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