Results 81 to 90 of about 958 (219)

Difference Nevanlinna theories with vanishing and infinite periods [PDF]

, 2017
By extending the idea of a difference operator with a fixed step to a varying-step difference operator, we establish a difference Nevanlinna theory for meromorphic functions with steps tending to zero (vanishing period) and a difference Nevanlinna theory
Xu-Dan Luo, Chiang, Yik Man, Yik-Man Chiang, Luo, Xu Dan   +3 more
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A note on 𝑝-adic Nevanlinna theory [PDF]

Proceedings of the American Mathematical Society, 2000
In this paper, we show that the First Main Theorem in p p -adic Nevanlinna theory implies the Second Main Theorem without ...
openaire   +1 more source

Generalized Schur–Nevanlinna functions and their realizations [PDF]

, 2020
Pontryagin space operator valued generalized Schur functions and generalized Nevanlinna functions are investigated by using discrete-time systems, or operator colligations, and state space realizations.
Lassi Lilleberg, Lilleberg, Lassi
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The Nevanlinna matrix of the truncated Hausdorff matrix moment problem via orthogonal matrix polynomials on [a,b] for the case of an even number of moments

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
The scalar moment problem was first introduced by T. J. Stieltjes in his work ``Recherches sur les fractions continues'' Annals of the Faculty of Sciences of Toulouse 8, 1--122, (1895).
Б. Е. Медіна-Ернандес
doaj   +1 more source

Growth of solutions to higher order linear homogeneous differential equations in angular domains

Electronic Journal of Differential Equations, 2010
In this article, we discuss the growth of meromorphic solutions to higher order homogeneous differential equations in some angular domains, instead of the whole complex plane.
Nan Wu
doaj  

On solutions of several Fermat-type partial differential-difference equations in C2

Demonstratio Mathematica
In this paper, we study entire solutions of several Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$ by applying Nevanlinna theory of meromorphic functions in several complex variables.
Tang Caoqiang, Huang Zhigang
doaj   +1 more source

Topics in Nevanlinna theory [PDF]

Nevanlinna Theory is a powerful quantitative tool used to study the growth and behaviour of meromorphic functions on the complex plane. It plays an important role in value distribution theory, including generalising Picard's theorem that an entire ...
Buck, Matthew M.
core  

Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line. [PDF]

Integr Equ Oper Theory, 2022
Behrndt J, Holzmann M, Tušek M.
europepmc   +1 more source

On the Krein-Langer integral representation of generalized Nevanlinna functions [PDF]

, 2004
The Krein-Langer integral representation of a matrix-valued generalized Nevanlinna function arises in problems of spectral theory and interpolation. A version of this formula which is suitable for such problems, and a corresponding Stieltjes inversion ...
Rovnyak, James L., Rovnyak, James, Sakhnovich, Lev A., Sakhnovich, Lev   +3 more
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Uniqueness of shift and derivatives of meromorphic functions

Математичні Студії
This paper addresses the uniqueness problem concerning the j-th derivative of a meromorphic function $f(z)$ and the k-th derivative of its shift, $f(z+c),$ where $j,k$ are integers with $0\leq ...
D. C. Pramanik, A. Sarkar
doaj   +1 more source