Results 31 to 40 of about 5,535 (299)
On the coefficients of R-univalent functions [PDF]
Duke Mathematical Journal, 1955 (4) | an| < 41 di n, f(z) 5 d(I zI < 1). Because of d|I d 1/4, (4) is weaker than the Bieberbach conjecture but, as shown by the function f(z) =z(1 -Z)-2 =z+2z2+3z3+ (f(z)05-1/4), it would still be sharp. In the present note we shall show that the truth of Littlewood's conjecture (4) would follow from the proof of the asymptotic result (3).
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On a subclass of univalent functions II [PDF]
Annales Polonici Mathematici, 1983 [For part I see the review above.] Let f be analytic in the unit disc E with \(f(0)=f'(0)-1=0,\) and \(f(z)f'(z)/z\neq 0\) for z in E. Using the standard technique the authors have obtained an integral representation formula for \(f\in C(\alpha,\lambda)\) and estimates for the coefficients of \(f\in C(\alpha,\lambda)\), where \(C(\alpha\),\(\lambda ...
Padmanabhan, K. S., Bharati, R.
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On a class of univalent functions
Applied Mathematics Letters, 2012 AbstractLet A be the class of analytic functions in the unit disk D with the normalization f(0)=f′(0)−1=0. Denote by N the class of functions f∈A which satisfy the condition |−z3(zf(z))‴+f′(z)(zf(z))2−1|≤1,z∈D. We show that functions in N are univalent in D but not necessarily starlike.
Milutin Obradovic, Saminathan Ponnusamy
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Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
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Advanced Healthcare Materials, EarlyView.Peritoneal carcinomatosis is a hard‐to‐treat spread of abdominal cancers that often returns after therapy. Nanoparticles were developed to retain an immune‐boosting drug in the abdomen. When combined with chemotherapy in mice, this approach eliminated tumors in many cases and prevented recurrence, helping the immune system mount a stronger, longer ...
Vanessa Chan +10 more
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On the coefficient domains of univalent functions
International Journal of Mathematics and Mathematical Sciences, 1990 Coefficient domains for functions whose derivative has positive real part in the interior of an ellipse are given in this paper.
M. M. Elhosh
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The Coefficients Of Functions With Positive Real Part And Some Special Classes Of Univalent Functions. [PDF]
, 2003 Several special classes of univalent functions f in the unit disk U are characterized by the quantity zf'(z)/ f (z) lies in a given region in the right-half plane.
M. Ali, Rosihan
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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
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On the asymptotic Bieberbach conjecture
International Journal of Mathematics and Mathematical Sciences, 1982 The set S consists of complex functions f, univalent in the open unit disk, with f(0)=f'(0)-1=0. We use the asymptotic behavior of the positive semidefinite FitzGerald matrix to show that there is an absolute constant N0 such that, for any f(z)=z+?n ...
Mauriso Alves, Armando J. P. Cavalcante
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Axioms, 2022 The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker +3 more
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