Results 71 to 80 of about 288 (167)
On the growth of meromorphic solutions of the Schwarzian differential equations
Journal of Mathematical Analysis and Applications, 2005 The authors study the properties of meromorphic solutions of the Schwarzian differential equations in the complex plane by using some techniques from the study of the class \(W_p\), and find some upper bounds for the order of meromorphic solutions for some types of the Schwarzian differential equations. The authors also show that there are no wandering
Liao, Liangwen, Ye, Zhuan
openaire +2 more sources
Some properties of algebraic difference equations of first order
Advances in Difference Equations, 2017 We prove that if g ( z ) $g(z)$ is a finite-order transcendental meromorphic solution of ( △ c g ( z ) ) 2 = A ( z ) g ( z ) g ( z + c ) + B ( z ) , $$\bigl(\triangle_{c} g(z)\bigr)^{2}=A(z)g(z)g(z+c)+B(z), $$ where A ( z ) $A(z)$ and B ( z ) $B(z)$ are ...
Yong Liu
doaj +1 more source
Meromorphic solutions of linear q-difference equations
Journal of Mathematical Analysis and ApplicationsIn this article, we construct explicit meromorphic solutions of first order linear $q$-difference equations in the complex domain and we describe the location of all their zeros and poles. The homogeneous case leans on the study of four fundamental equations, providing the previous informations in the framework of entire or meromorphic coefficients ...
Alberto Lastra, Pascal Remy
openaire +4 more sources
Properties of meromorphic solutions to certain differential-difference equations
Electronic Journal of Differential Equations, 2013 We consider the properties of meromorphic solutions to certain type of non-linear difference equations. Also we show the existence of meromorphic solutions with finite order for differential-difference equations related to the Fermat type functional ...
Xiaoguang Qi, Lianzhong Yang
doaj
On solutions of a certain nonlinear differential-difference functional equation [PDF]
Mathematica BohemicaWe investigate all the possible finite order entire solutions of the Fermat-type differential-difference functional equation $(Af(z))^2+R^2(z)(Bf^{(m)}(z+c)+Cf^{(n)}(z))^2=Q(z)$, where $m,n\in\mathbb{N}$, $A,B,C\in\mathbb{C}\setminus\{0\}$ and $R(z)$, $Q(
Rajib Mandal, Raju Biswas
doaj +1 more source
On Transcendental Meromorphic Solutions of Hayman’s Equation
Computational Methods and Function Theory14 pages; this version concerns particularly the transcendental meromorphic solutions of Hayman's ...
openaire +2 more sources
Complex Langevin dynamics and zeroes of the fermion determinant
Journal of High Energy Physics, 2017 QCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant. Complex Langevin dynamics can provide a solution, provided certain conditions are met.
Gert Aarts +3 more
doaj +1 more source
Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d
Physics Letters B, 2019 The long-standing problem of representing the general massive one-loop Feynman integral as a meromorphic function of the space-time dimension d has been solved for the basis of scalar one- to four-point functions with indices one. In 2003 the solution of
Khiem Hong Phan, Tord Riemann
doaj +1 more source
Existence of rational solutions for q-difference Painleve equations
Electronic Journal of Differential Equations, 2020 This article studies properties of meromorphic solutions for several types of q-difference Painleve equations. We obtain conditions for the existence, and the form of rational solutions for two classes of q-difference Painleve equations.
Hong Yan Xu, Jin Tu
doaj
A crossing-symmetric OPE inversion formula
Journal of High Energy Physics, 2019 We derive a Lorentzian OPE inversion formula for the principal series of sl(2, ℝ). Unlike the standard Lorentzian inversion formula in higher dimensions, the formula described here only applies to fully crossing-symmetric four-point functions and makes ...
Dalimil Mazáč
doaj +1 more source