Results 61 to 70 of about 5,274 (174)
Starlikeness associated with parabolic regions
International Journal of Mathematics and Mathematical Sciences, 2005 A parabolic starlike function f of order ρ in the unit disk is characterized by the fact that the quantity zf′(z)/f(z) lies in a given parabolic region in the right half-plane. Denote the class of such functions by PS∗(ρ).
Rosihan M. Ali
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Certain classes of starlike functions. [PDF]
Michigan Mathematical Journal, 1985 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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Characterization of p-valent q-starlike functions through Hadamard product and Poisson distribution
Applied Mathematics in Science and EngineeringThis paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane ...
Muhammad Uzair Shah +3 more
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Boundary Behavior of Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1972 For a starlike function f, we impose a geometric condition on the image of the open unit disc by the mapping w = z f ′ ( z ) / f ( z ) w = zf’(z)/f(z) to insure that f be one-to-one on the closed unit disc ...
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Some Geometric Characterizations of a Certain Class of Log-Harmonic Mappings
MathematicsThis article investigates structural properties of a class of log-harmonic mappings associated with starlike analytic functions in the unit disk. Beginning with a general representation of the log-harmonic mappings, we use sharp inequalities using ...
Madhusmita Mohanty +2 more
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The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
International Journal of Mathematics and Mathematical Sciences, 2011 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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Parabolic starlike mappings of the unit ball $B^n$ [PDF]
Sahand Communications in Mathematical Analysis, 2016 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
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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
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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 +2 more
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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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