On properties of the solutions of the Weber equation
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 2
Abstract
Growth, convexity and the l-index boundedness of the functions α(z) and β(z), such that α(z4) and zβ(z4) are linear independent solutions of the Weber equation w′′−(z24−ν−12)w=0 if ν=−12 are investigated.
Authors and Affiliations
Yu. Trukhan
$\omega$-Euclidean domain and Laurent series
It is proved that a commutative domain $R$ is $\omega$-Euclidean if and only if the ring of formal Laurent series over $R$ is $\omega$-Euclidean domain. It is also proved that every singular matrice over ring of formal L...
On Wick calculus on spaces of nonregular generalized functions of Levy white noise analysis
Development of a theory of test and generalized functions depending on infinitely many variables is an important and actual problem, which is stipulated by requirements of physics and mathematics. One of successful appr...
Gelfand local Bezout domains are elementary divisor rings
We introduce the Gelfand local rings. In the case of commutative Gelfand local Bezout domains we show that they are an elementary divisor domains.
Inverse Cauchy problem for fractional telegraph equations with distributions
The inverse Cauchy problem for the fractional telegraph equation $$u^{(\alpha)}_t-r(t)u^{(\beta)}_t+a^2(-\Delta)^{\gamma/2} u=F_0(x)g(t),\quad (x,t) \in {\rm R}^n\times (0,T],$$ with given distributions in the right-ha...
Metric on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$
It is known that every complex-valued homomorphism of the Fr\'{e}chet algebra $H_{bs}(L_\infty)$ of all entire symmetric functions of bounded type on the complex Banach space $L_\infty$ is a point-evaluation functional...