Results 21 to 30 of about 1,468,677 (198)
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
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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.
Guo, Li +5 more
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Differential Modules over Quadratic Monomial Algebras [PDF]
Algebras and Representation Theory, 2017 8 ...
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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
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Entire solutions of differential equations that are related to trigonometric identities
, 2022 We prove results concerning entire solutions of non-linear binomial differential equations that have connections to trigonometric identities. We also prove a double inequality for the growth of entire solutions of non-linear monomial differential ...
Gundersen, GG, Ng, TW, Lü, WR, Yang, CC
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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 ...
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Some exactly solvable models of urn process theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We establish a fundamental isomorphism between discrete-time balanced urn processes and certain ordinary differential systems, which are nonlinear, autonomous, and of a simple monomial form.
Philippe Flajolet +2 more
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Initial forms and a notion of basis for tropical differential equations [PDF]
, 2020 We show that solution sets of systems of tropical differential equations can be characterised in terms of monomial-freeness of an initial ideal. We discuss a candidate definition of tropical differential basis and give a nonexistence result for such ...
Toghani, Zeinab +3 more
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Limit cycles for 3-monomial differential equations
Journal of Mathematical Analysis and Applications, 2015 Agraïments: UNAB10-4E-378. The second author is partially supported by NSFC-11171267 and NSFC-11271027 grants.
Gasull, Armengol, Li, Chengzhi
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MathematicsIn this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
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