Results 131 to 140 of about 20,152 (160)
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1990
The author defines the class of modulus monotonic functions \((MM(r,\alpha))\) as follows: \(f(z)=z+a_ 2z^ 2+a_ 3z^ 3+\cdots\) is analytic in the unit disk. There is an \(\alpha\in\left(-{\pi\over 2},{\pi\over 2}\right)\) such that \(| f(re^{i\theta})|\) decreases for \(\theta\in[\alpha,\pi-\alpha]\) and increases for \(\theta\in[\pi-\alpha,2\pi+\alpha]
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The author defines the class of modulus monotonic functions \((MM(r,\alpha))\) as follows: \(f(z)=z+a_ 2z^ 2+a_ 3z^ 3+\cdots\) is analytic in the unit disk. There is an \(\alpha\in\left(-{\pi\over 2},{\pi\over 2}\right)\) such that \(| f(re^{i\theta})|\) decreases for \(\theta\in[\alpha,\pi-\alpha]\) and increases for \(\theta\in[\pi-\alpha,2\pi+\alpha]
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An estimate for the modulus of a rational function
Journal of Mathematical Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modulus of continuity of harmonic functions
Journal d'Analyse Mathématique, 1988Suppose that u(z) is a harmonic function in a plane domain G and that the modulus of continuity of u(z) is majorised by a nondecreasing function \(\mu\) (t), \(\mu\) (2t)\(\leq 2\mu (t)\), on the boundary \(\partial G\). What kind of upper bound can be obtained for \(| u(z_ 1)-u(z_ 2)|\) when \(z_ 1,z_ 2\in \bar G?\) Making use of various estimates of ...
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On the Minimum Modulus of Functions with Given Coefficients
Bulletin of the London Mathematical Society, 1973Hayman, W. K., Nicholls, P. J.
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Some properties of the extremal function for the Fuglede p-modulus
Annals of Functional Analysis, 2023Małgorzata Ciska-Niedziałomska
exaly
On the Maximum Modulus of an Integral Function
Proceedings of the London Mathematical Society, 1960openaire +2 more sources
Generic relation between the electron work function and Young's modulus of metals
Applied Physics Letters, 2011Guomin Hua, D Y Li, Li Dongyang
exaly
THE MAXIMUM MODULUS OF AN INTEGRAL FUNCTION OF AN INTEGRAL FUNCTION
The Quarterly Journal of Mathematics, 1955openaire +2 more sources