Results 51 to 60 of about 39,333 (245)

On the Uniqueness of Meromorphic Functions on Annuli in terms of Deficiencies

Journal of Function Spaces, 2020
The purpose of this article is to study the uniqueness of meromorphic functions on annuli. Under a certain condition about deficiencies, we prove some new uniqueness theorems of meromorphic functions on the annulus A=z:1 ...
Dawei Meng, Nan Lu, Sanyang Liu
doaj   +1 more source

Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product

Axioms, 2023
This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy differential subordination results are obtained using a new operator which is the combination Hadamard product and integral operator for meromorphic function.
Sheza M. El-Deeb, Alina Alb Lupaş
doaj   +1 more source

Moments of L$L$‐functions via a relative trace formula

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
wiley   +1 more source

Some Subclasses of Meromorphic Functions Associated with a Family of Integral Operators

Journal of Inequalities and Applications, 2009
Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic functions. Such results as inclusion
Zhi-Gang Wang, Zhi-Hong Liu, Yong Sun
doaj   +2 more sources

Residues of functions of Cayley-Dickson variables and Fermat's last theorem [PDF]

, 2010
Function theory of Cayley-Dickson variables is applied to Fermat's last theorem. For this the homotopy theorem, Rouch\'e's theorem and residues of meromorphic functions over Cayley-Dickson algebras are used.
Ludkovsky, S. V.
core  

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

Singularities and Topology of Meromorphic Functions

, 2002
We present several aspects of the "topology of meromorphic functions", which we conceive as a general theory which includes the topology of holomorphic functions, the topology of pencils on quasi-projective spaces and the topology of polynomial functions.
A Dimca, A Dimca, A Dold, A Parusiriski, AH Durfee, B Teissier, B Teissier, C Sabbah, C Sabbah, D Burghelea, D Siersma, D. Siersma, D.T. Lê, DT Lê, DT Lê, E Brieskorn, EH Spanier, F Pham, H Hamm, HV Ha, J Briançon, J Briançon, J-L Verdier, JP Henry, L Fourrier, M Tibàr, M Tibár, M Tibár, M Tibár, M. Morse, N A’Campo, N A’Campo, O Zariski, P Deligne, R García López, R García López, R Switzer, R Thom, S Gusein, S Gusein-Zade, S Gusein-Zade, SA Broughton, SA Broughton, T Gaffney, VA Vassiliev, VI Arnol’d, VI Arnol’d, W Ebeling, WD Neumann, WD Neumann   +49 more
core   +1 more source

Interpolation with Meromorphic Matrix Functions [PDF]

Proceedings of the American Mathematical Society, 1994
A complete solution is given to a first-order pole-zero meromorphic matrix function interpolation problem on a closed Riemann surface. The solution to the interpolation problem is constructed from the solution to a natural linear homogeneous system.
Ball, Joseph A., Clancey, Kevin F.
openaire   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Growth Properties of Wronskians in the Light of Relative Order

International Journal of Analysis and Applications, 2014
In this paper we study the comparative growth properties of composition of entire and meromorphic functions on the basis of relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta, Tanmay Biswas, Golok Kumar Mondal   +2 more
doaj   +2 more sources