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Optimized Chemical Bath Deposition for Low Cost, Scalable, and Environmentally Sustainable Synthesis of Star-Like ZnO Nanostructures. [PDF]
Di Mari GM+7 more
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The Spectrum and Carrier Frequencies of Common Pathogenic Cystic Fibrosis Transmembrane Conductance Regulator Gene Mutations in Men from the General Population: The Role of Ethnicity. [PDF]
Osadchuk L+3 more
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The sharp bound of the third Hankel determinant for starlike functions
Forum mathematicum, 2022In this paper, we prove the sharp inequality | H 3 , 1 ( f ) | ≤ 4 / 9 \lvert H_{3,1}(f)\rvert\leq 4/9 for starlike functions 𝑓, where H 3 , 1 ( f ) H_{3,1}(f) is the third Hankel determinant, thus solving a long-standing problem.
B. Kowalczyk, A. Lecko, D. K. Thomas
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A Conjecture on H3(1) for Certain Starlike Functions
Mathematica Slovaca, 2022We prove a conjecture concerning the third Hankel determinant, proposed by Kumar and Kamaljeet in [A cardioid domain and starlike functions, Anal. Math. Phys. 11 (2021), Art.
Neha Verma, S. S. Kumar
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Certain Results on Starlike and Parabolic Starlike Functions [PDF]
Using the technique of differential subordination, we obtain certain results for starlike and parabolic starlike functions involving the differential operator zf ′(z) f(z) ( 1 + α zf ′′(z) f ′(z) ) . We study the above operator for multivalent functions and also conclude some results for univalent functions.
Richa Brar, Sukhwinder Singh Billing
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Mathematische Nachrichten, 1989
Let \(f(z)=z+a_ 2z^ 2+..\). be analytic in \(U=\{z:\) \(| z|
Shigeyoshi Owa, Milutin Obradović
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Let \(f(z)=z+a_ 2z^ 2+..\). be analytic in \(U=\{z:\) \(| z|
Shigeyoshi Owa, Milutin Obradović
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Hankel determinants for starlike and convex functions associated with sigmoid functions
Forum mathematicum, 2021This paper is concerned with Hankel determinants for starlike and convex functions related to modified sigmoid functions. Sharp bounds are given for second and third Hankel determinants.
A. Riaz, Mohsan Raza, D. Thomas
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