Results 31 to 40 of about 288 (167)
Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
International Journal of Analysis and Applications, 2016 The main purpose of this article is to investigate the growth of meromorphic solutions to homogeneous and non-homogeneous second order linear differential equations f00+Af0+Bf = F, where A(z), B (z) and F (z) are meromorphic functions with finite order ...
Maamar Andasmas, Benharrat Belaidi
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Characteristic estimation of differential polynomials
Journal of Inequalities and Applications, 2021 In this paper, we give the characteristic estimation of a meromorphic function f with the differential polynomials f l ( f ( k ) ) n $f^{l}(f^{(k)})^{n}$ and obtain that T ( r , f ) ≤ M N ‾ ( r , 1 f l ( f ( k ) ) n − a ) + S ( r , f ) $$\begin{aligned ...
Min-Feng Chen, Zhi-Bo Huang
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International Journal of Mathematics and Mathematical Sciences, 2006 The influence of the normality of the coefficient A(z) of the differential equation f(k)+A(z)f=0 on a solution f and also the influence of the normality of a solution f on A(z) are investigated in the unit disk. In particular, an estimate of P. Lappan is
K. E. Fowler, L. R. Sons
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Meromorphic solutions to certain class of differential equations in an angular domain
Advances in Difference Equations, 2019 In this paper, we study the admissible meromorphic solutions to the algebraic differential equation fnf′+Pn−1(f)=uev $f^{n} f' + P_{n-1}( f ) = u\mathrm {e}^{v}$ in an angular domain instead of the whole complex plane, where Pn−1(f) $P_{n-1}(f)$ is a ...
Fengrong Zhang +3 more
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On growth of meromorphic solutions for linear difference equations with meromorphic coefficients [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 587-602, August 2026.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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Quasiconformal folding—a review of ‘Models for the Eremenko–Lyubich class'
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We review the paper ‘Models for the Eremenko–Lyubich class’ by Bishop, which appeared in the Journal of the London Mathematical Society in 2015, the first of two LMS papers for which Bishop received the LMS Senior Berwick Prize in 2024. This is one of a series of papers where Bishop introduced his new technique of quasiconformal folding, which
Philip J. Rippon
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New exact solutions of the sixth-order thin-film equation with complex method
Partial Differential Equations in Applied Mathematics, 2021 By the Wiman–Valiron theory and the complex method, we prove that all meromorphic solutions of the fifth-order ODE unu′′′′′−cu=0belong to W, and obtain several new solutions of the sixth-order thin-film equation comparing to the opening literature.
Guoqiang Dang
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