Results 81 to 90 of about 6,503,100 (217)
Nevanlinna representations in several variables [PDF]
, 2012 We generalize two integral representation formulae of Nevanlinna to functions of several variables. We show that for a large class of analytic functions that have non-negative imaginary part on the upper polyhalfplane there are representation formulae in
Agler, Jim +2 more
core
Shift invariant subspaces in growth spaces and sets of finite entropy
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We investigate shift invariant subspaces within the realm of analytic functions in the unit disc, whose radial growth is determined by a majorant w$w$. Our main result offers a complete characterization of the shift invariant subspaces generated by Nevanlinna class functions within the aforementioned class of growth spaces.
Adem Limani
wiley +1 more source
Entire and meromorphic solutions for systems of the differential difference equations
Demonstratio Mathematica, 2022 With the help of the Nevanlinna theory of meromorphic functions, the purpose of this article is to describe the existence and the forms of transcendental entire and meromorphic solutions for several systems of the quadratic trinomial functional equations:
Xu Hong Yan, Li Hong, Ding Xin
doaj +1 more source
Transient Offset in 14C After the Carrington Event Recorded by Polar Tree Rings
Geophysical Research Letters, Volume 51, Issue 5, 16 March 2024.Abstract The Carrington event of 1859 has been the strongest solar flare in the observational history. It plays a crucial role in shedding light on the frequency and impacts of the past and future Solar Energetic Particle (SEP) events on human societies. We address the impact of the Carrington event by measuring tree‐ring 14C with multiple replications
Joonas Uusitalo +16 more
wiley +1 more source
On $L^1$-estimates of derivatives of univalent rational functions [PDF]
, 2015 We study the growth of the quantity $\int_{\mathbb{T}}|R'(z)|\,dm(z)$ for rational functions $R$ of degree $n$, which are bounded and univalent in the unit disk, and prove that this quantity may grow as $n^\gamma$, $\gamma>0$, when $n\to\infty$.
Baranov, Anton D. +1 more
core
Factorizations induced by complete Nevanlinna-Pick factors
, 2018 We prove a factorization theorem for reproducing kernel Hilbert spaces whose kernel has a normalized complete Nevanlinna-Pick factor. This result relates the functions in the original space to pointwise multipliers determined by the Nevanlinna-Pick ...
Aleman, Alexandru +3 more
core +1 more source
Nevanlinna’s Five Values Theorem on Annuli
Mathematics, 2016 By using the second main theorem of the meromorphic function on annuli, we investigate the problem on two meromorphic functions partially sharing five or more values and obtain some theorems that improve and generalize the previous results given by Cao ...
Hong-Yan Xu, Hua Wang
doaj +1 more source
Nevanlinna Theory and Normal Families [PDF]
arXiv, 2018 It is an expanded form of Drasin's work on normality of family of meromorphic functions given in his seminal paper titled "Normal Families and the Nevanlinna Theory".
arxiv
Properties of meromorphic solutions of $q$-difference equations
Electronic Journal of Differential Equations, 2015 In this article, we utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function f(z) that satisfies some q-difference equations, which can be seen the q-difference analogues of Painleve I and II ...
Xiaoguang Qi, Lianzhong Yang
doaj
Entire function sharing two polynomials with its $k$th derivative [PDF]
Mathematica BohemicaWe investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011).
Sujoy Majumder, Nabadwip Sarkar
doaj +1 more source