Results 61 to 70 of about 732 (179)
Integral operator and starlike functions
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On the Eccentric Spectra of the Line Graph of Starlike Trees
A tree is called starlike if it has exactly one vertex with a degree greater than two. In this paper, we determine the eccentricity spectrum of the line graphs of starlike trees and compute their eccentric energy. Furthermore, we establish that the eccentricity matrix of the line graph of any starlike tree is irreducible.
S. Balamoorthy +4 more
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The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.
Toshio Hayami, Shigeyoshi Owa
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On a subclass of strongly starlike functions
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Mohamed Kamal Aouf +2 more
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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
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On Starlike and Close-to-Convex Functions [PDF]
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135466/1/plms0290 ...
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Parabolic starlike mappings of the unit ball $B^n$ [PDF]
Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by$$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$ where $gammain[0,1/2]$,
Samira Rahrovi
doaj
A certain class of starlike functions
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Univalent and Starlike Properties for Generalized Struve Function
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 +2 more
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Certain classes of starlike functions. [PDF]
The author introduces a one parameter family of starlike mappings in the unit disk by proving that if f(z) is analytic in \(| z| 0. \] The proof is based on an extended version of the author's lemma in Trans. Am. Math. Soc. 76, 254-274 (1954; Zbl 0057.311). Some applications are also given.
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