Results 51 to 60 of about 201 (167)

Subharmonic functions and associated measures in ℝn

Open Mathematics
For subharmonic functions ss in Rn,n≥2,{{\mathbb{R}}}^{n},n\ge 2, there is an associated Radon measure μ\mu that is used to represent ss locally as an integral up to an additive harmonic function. We prove that the total measure μ(R2)\mu ({{\mathbb{R}}}^
Bajunaid Ibtesam
doaj   +1 more source

Harmonic balls in Liouville quantum gravity

Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.
Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley   +1 more source

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various significant problems in physics and astrophysics have been successfully solved using fractional kinetic equations (FKEs) and special functions. This study applies the Elzaki integral transform to FKEs incorporating orthogonal polynomials and their generating functions.
Mulualem Aychluh, D. L. Suthar, S. D. Purohit, Biniyam Shimelis, Ivan Giorgio   +4 more
wiley   +1 more source

Solvability of a system of totally characteristic equations related to Kahler metrics

Electronic Journal of Differential Equations, 2017
We consider a system of equations composed of a higher order singular partial differential equation of totally characteristic type and several higher order non-Kowalevskian linear equations. This system is a higher order version of a system that arose
Jose Ernie C. Lope, Mark Philip F. Ona
doaj  

Some unsolved problems on meromorphic functions of uniformly bounded characteristic

International Journal of Mathematics and Mathematical Sciences, 1985
The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function.
Shinji Yamashita
doaj   +1 more source

A novel algorithm for multiplicative speckle noise reduction in ex vivo human brain OCT images. [PDF]

Neuroimage, 2022
Varadarajan D, Magnain C, Fogarty M, Boas DA, Fischl B, Wang H.   +5 more
europepmc   +1 more source

Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations

Algorithms
Iterative algorithms requiring the computationally expensive in general inversion of linear operators are difficult to implement. This is the reason why hybrid Newton-like algorithms without inverses are developed in this paper to solve Banach space ...
Ioannis K. Argyros, Santhosh George, Samundra Regmi, Christopher I. Argyros   +3 more
doaj   +1 more source

Solutions of fractional diffusion problems

Electronic Journal of Differential Equations, 2010
Using the concept of majorant functions, we prove the existence and uniqueness of holomorphic solutions to nonlinear fractional diffusion problems. The analytic continuation of these solutions is studied and the singularity for two cases are posed.
Rabha W. Ibrahim
doaj  

Wideband Waveform Design for Distributed Precision Jamming. [PDF]

Entropy (Basel), 2023
Zhang K, Zhou Q, Wang J, Huang C, Yang Z, Zhang J.   +5 more
europepmc   +1 more source

On the interpolation in some classes of holomorphic in the unit disk functions

Математичні Студії
There is considered an interpolation problem $f(\lambda_n )=b_n$ in the class of holomorphic in the unit disk $U(0;1)=\{z\in\mathbb{C}\colon |z|0)(\forall z\in U(0;1))\colon \quad |f(z)|\leq\exp\Big(A\eta\Big(\frac A{1-|z|}\Big)\Big),$  where $\eta ...
I.B. Sheparovych
doaj   +1 more source