Results 21 to 30 of about 112,203 (263)

A Sneaky Proof of the Maximum Modulus Principle [PDF]

open access: yesThe American Mathematical Monthly, 2013
A proof for the maximum modulus principle (in the unit disc) is presented. This proof is unusual in that it is based on linear algebra.
openaire   +2 more sources

Wiman’s type inequality for some double power series [PDF]

open access: yesМатематичні Студії, 2013
In this paper we prove some analogue of Wiman's inequality foranalytic functions $f(z_1,z_2)$ in the domain$mathbb{T}={zinmathbb C^2colon|z_1|
A. O. Kuryliak   +2 more
doaj  

A CURVILINEAR EXTENSION OF THE MAXIMUM MODULUS PRINCIPLE [PDF]

open access: yesProceedings of the National Academy of Sciences, 1969
The classical maximum principle is extended to the case where at frontier points the assumed global upper limit of the function is replaced by an upper limit along merely an arc, provided that the function does not have infinity as an asymptotic value.
openaire   +2 more sources

Characteristic, Maximum Modulus and Value Distribution [PDF]

open access: yesTransactions of the American Mathematical Society, 1984
Let f f be an entire function such that
Hayman, W. K., Rossi, J. F.
openaire   +2 more sources

Study on the effects of drying–wetting cycles on the dynamic elasticity modulus of weathered red sandstone soil

open access: yesSN Applied Sciences, 2023
In this paper, the effect of drying–wetting cycles on the dynamic elasticity modulus of weathered red sandstone soil was studied based on a series of unconsolidated undrained dynamic triaxial tests under different confining pressures and with the help of
Yunye Deng
doaj   +1 more source

Effect of Mean Grain Size on the Small-Strain Dynamic Properties of Calcareous Sand

open access: yesAdvances in Civil Engineering, 2022
Calcareous sand was selected as the prior material for island reclamation in many coastal regions. The mechanical properties of the granular materials are greatly affected by their grain size distribution conditions.
Liwei Wen
doaj   +1 more source

Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this paper, we consider a class of vector-functions, which are analytic in the unit ball. For this class of functions there is introduced a concept of boundedness of $\mathbf{L}$-index in joint variables, where $\mathbf{L}=(l_1,l_2): \mathbb{B}^2\to ...
V.P. Baksa
doaj   +1 more source

Resonant column tests on maximum shear modulus and damping ratio of coral sand

open access: yesYantu gongcheng xuebao, 2020
The resonant column tests on the effects of relative density and confining pressure on the maximum modulus and damping ratio of coral sand in South China Sea under small strain are performed.
LI Xiao-mei 1, WANG Fang 1, HAN Lin 2, GUAN Yun-fei 1, ZHAN Xin-jie 1
doaj   +1 more source

Ball exhaustion of the Reinhardt domain: properties of analytic functions of bounded $\mathbf{L}$-index in joint variables

open access: yesМатематичні Студії
This article is a continuation of the research on the concept of an analytic function of a bounded $\mathbf{L}$-index, conducted during 2019-2025 in the articles A. Bandura, T. Salo and O.
A. I. Bandura   +2 more
doaj   +1 more source

Generalized types of the growth of Dirichlet series

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2015
Let $A\in(-\infty,+\infty]$ and $\Phi$ be a continuously on $[\sigma_0,A)$ function such that $\Phi(\sigma)\to+\infty$ as $\sigma\to A-0$. We establish a necessary and sufficient condition on a nonnegative sequence $\lambda=(\lambda_n)$, increasing to $+\
T.Ya. Hlova, P.V. Filevych
doaj   +1 more source

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