Results 11 to 20 of about 22,180 (168)
Characteristic estimation of differential polynomials
Journal of Inequalities and Applications, 2021 In this paper, we give the characteristic estimation of a meromorphic function f with the differential polynomials f l ( f ( k ) ) n $f^{l}(f^{(k)})^{n}$ and obtain that T ( r , f ) ≤ M N ‾ ( r , 1 f l ( f ( k ) ) n − a ) + S ( r , f ) $$\begin{aligned ...
Min-Feng Chen, Zhi-Bo Huang
doaj +1 more source
Wall-crossing of TBA equations and WKB periods for the third order ODE
Nuclear Physics B, 2022 We study the WKB periods for the third order ordinary differential equation (ODE) with polynomial potential, which is obtained by the Nekrasov-Shatashvili limit of (A2,AN) Argyres-Douglas theory in the Omega background.
Katsushi Ito +2 more
doaj +1 more source
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
core +3 more sources
Exact Closed-Form Solution for the Oscillator with a New Type of Mixed Nonlinear Restitution Force
Mathematics, 2023 This paper shows an oscillator with a spring made of material where the stress is a function not only of strain but also strain rate. The corresponding restitution force is of strong nonlinear monomial type and is the product of displacement and velocity
Livija Cveticanin
doaj +1 more source
Differential Modules over Quadratic Monomial Algebras [PDF]
Algebras and Representation Theory, 2017 8 ...
openaire +3 more sources
Value distribution of some differential monomials
Filomat, 2020 Let f be a transcendental meromorphic function defined in the complex plane C and k ? N. We consider the value distribution of the differential polynomial fq0(f(k))qk, where q0(?2), qk(?1) are integers. We obtain a quantitative estimation of the characteristic function T(r,f) in terms of N?(r, 1/fq0(f(k))qk-1).
Chakraborty, Bikash +3 more
openaire +4 more sources
Nonlinear differential monomials sharing two values. [PDF]
Mathematica Bohemica, 2016 Summary: Using the notion of weighted sharing of values which was introduced by \textit{I. Lahiri} [Nagoya Math. J. 161, 193--206 (2001; Zbl 0981.30023); Complex Variables, Theory Appl. 46, No. 3, 241--253 (2001; Zbl 1025.30027)], we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials ...
openaire +3 more sources
IACR Transactions on Symmetric Cryptology, 2023 Motivated by progress in the field of zero-knowledge proofs, so-called Arithmetization-Oriented (AO) symmetric primitives have started to appear in the literature, such as MiMC, Poseidon or Rescue.
Aurélien Boeuf +2 more
doaj +1 more source
Generalized rational first integrals of analytic differential systems [PDF]
, 2014 In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ordinary differential systems via the resonances.
Cong, Wang, Llibre, Jaume, Zhang, Xiang
core +1 more source
Monomiality and partial differential equations
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Dattoli +3 more
openaire +3 more sources