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Mathematica Slovaca, ISSN 0139-9918, 06/2017, Volume 67, Issue 3, pp. 631 - 644
Journal Article
Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 10/2019, Volume 59, Issue 10, pp. 1649 - 1659
Linear ordinary differential equations with the coefficients in the form of truncated formal power series are considered. It is discussed what can be learned... 
truncated series | Computational Mathematics and Numerical Analysis | power series | Laurent series | Mathematics | computer algebra systems | differential equations | MATHEMATICS, APPLIED | POWER-SERIES | PHYSICS, MATHEMATICAL | Ordinary differential equations | Mathematical analysis | Power series | Differential equations
Journal Article
Annalen der Physik, ISSN 0003-3804, 07/2019, Volume 531, Issue 7, pp. 1800375 - n/a
The genetic variation in the V3 loop obstruction component of gp120 HIV glycoprotein is defined as a solitary standing wave function with the transition state... 
Grothendieck topology | Laurent polynomial | HIV | convolutional neural network | Nahm equation | PHYSICS, MULTIDISCIPLINARY | HIV (Viruses) | Neural networks | Forecasts and trends | Standing waves | Tensors | Glycoprotein | Time series | Artificial neural networks | Glycoproteins | Polynomials | Ribonucleic acid--RNA | Deoxyribonucleic acid--DNA
Journal Article
International Journal of Control, ISSN 0020-7179, 03/2017, Volume 90, Issue 3, pp. 407 - 427
We present a direct discrete-time output-feedback adaptive control algorithm for single-input, single-output systems that are possibly unstable and nonminimum... 
nonminimum-phase zero | Markov parameters | impulse response | Adaptive control | unstable system | Laurent series | DISTURBANCE REJECTION | DYNAMICS | AUTOMATION & CONTROL SYSTEMS | Production planning | Numerical controls | Product design | Origins | Algorithms | Infinity | Impulse response | Output feedback | Convergence | Construction costs
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 2017, Volume 16, Issue 12
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2016, Volume 49, Issue 40, p. 405204
The Epstein zeta function zeta(d)[M; s] equivalent to Sigma(n is an element of Zd)'(nM n(T))(-s/2), where M is a real symmetric and invertible d x d matrix and... 
Stieltjes constants | Epstein zeta function | Laurent series | INTEGRALS | NUMBER | PHYSICS, MULTIDISCIPLINARY | CUBIC LATTICE | LATTICE SUMS | CONSTANT | DIMERS | PHYSICS, MATHEMATICAL
Journal Article
Journal of Number Theory, ISSN 0022-314X, 04/2018, Volume 185, pp. 349 - 378
In this paper, we study the properties of Diophantine exponents wn and wn⁎ for Laurent series over a finite field. We prove that for an integer n≥1 and a... 
Diophantine approximation | Diophantine exponent | Laurent series over a finite field | POLYNOMIALS | MATHEMATICS | ALGEBRAIC-NUMBERS | POWER-SERIES | CONTINUED-FRACTION SYMMETRIES | APPROXIMATION EXPONENTS | QUADRATIC APPROXIMATION | Mathematics - Number Theory
Journal Article
Proceedings of the Japan Academy Series A: Mathematical Sciences, ISSN 0386-2194, 12/2017, Volume 93, Issue 10, pp. 120 - 123
The Laurent-Stieltjes constants gamma(n)(chi) are, up to a trivial coefficient, the coefficients of the Laurent expansion of the usual Dirichlet L-series: when... 
Riemann zeta function | Dirichlet L-function | The Laurent-Stieltjes constants | MATHEMATICS | INTEGRATION | COEFFICIENTS | FORMULA | Mathematical constants | Analysis | Series, Dirichlet | Thermal expansion | Dirichlet problem | Constants | Mathematical analysis
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 2018, Volume 18, Issue 9
In this paper, we study the Jacobson radical of the skew inverse Laurent series ring R((x(-1); alpha, delta)), where R is an associative unitary ring, equipped... 
skew inverse Laurent series rings | Jacobson radical | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
The Rocky Mountain Journal of Mathematics, ISSN 0035-7596, 1/2014, Volume 44, Issue 2, pp. 443 - 477
The Stieltjes constants 𝛾𝑘(𝑎) appear as the coefficients in the regular part of the Laurent expansion of the Hurwitz zeta function ζ(𝑠, 𝑎) about 𝑠 = 1.... 
Dirichlet L functions | Stirling numbers of the first kind | Stieltjes constants | Lerch zeta function | Riemann zeta function | Laurent expansion | Hurwitz zeta function | MATHEMATICS | ZETA-FUNCTION | RIEMANN-XI FUNCTION | 11M35 | 05A10 | 11Y60 | 11M06
Journal Article
1987, ISBN 3764319402, Volume 27., xi, 274
Book
Journal of the Australian Mathematical Society, ISSN 1446-7887, 12/2013, Volume 95, Issue 3, pp. 421 - 427
Here we prove that, for a 2-primal ring R, the Laurent series ring R((x)) is a clean ring if and only if R is a semiregular ring with J(R) nil. This disproves... 
Nil Jacobson radical | 2-primal ring | Laurent series ring | Semiperfect ring | Clean ring | Semiregular ring | MATHEMATICS | clean ring | EXCHANGE RINGS | semiperfect ring | semiregular ring | nil Jacobson radical
Journal Article
Communications in Algebra, ISSN 0092-7872, 03/2017, Volume 45, Issue 3, pp. 919 - 923
Ever since the introduction, skew inverse Laurent series rings have kept growing in importance, as researchers characterized their properties (such as... 
Prime ring | Skew inverse Laurent series ring | Semiprime ring | Derivation | Primary 16N60 | Secondary 16S99 | 16S36 | MATHEMATICS | Quantum mechanics | Associative | Algebra | Mathematical analysis | Series (mathematics) | Inverse | Automorphisms
Journal Article
Communications in Algebra, ISSN 0092-7872, 08/2013, Volume 41, Issue 8, pp. 2884 - 2902
In this note, we continue to study zero-divisor properties of skew inverse Laurent series rings R((x −1 ; σ, δ)), where R is an associative ring equipped with... 
Zip ring | 2-primal ring | Armendariz rings | Jacobson radical | Skew inverse Laurent series rings | Prime radical | MATHEMATICS | ARMENDARIZ | EXTENSIONS | POLYNOMIAL-RINGS | IDEALS | Algebra
Journal Article
Journal of Number Theory, ISSN 0022-314X, 09/2014, Volume 142, pp. 44 - 50
Let Fq be the finite field with q elements and Fq((z−1)) be the field of all formal Laurent series with coefficients in Fq. For any x∈I:=z−1Fq((z−1)), the... 
Hausdorff dimension | Engel series expansions | Formal Laurent series | MATHEMATICS | INVERSE POLYNOMIAL-EXPANSIONS
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 05/2014, Volume 27, pp. 1 - 23
We consider β-expansions of formal Laurent series over finite fields. If the base β is a Pisot or Salem series, we prove that the β-expansion of a Laurent... 
Finite fields | Automatic sequences | β-Expansions | Formal Laurent series | MATHEMATICS | MATHEMATICS, APPLIED | POWER-SERIES | beta-Expansions
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 05/2015, Volume 68, Issue 1, pp. 120 - 137
We consider the following problem: given a linear ordinary differential system of arbitrary order with formal power series coefficients, decide whether the... 
Series coefficients | Laurent series solutions | Differential system | System width | MATHEMATICS, APPLIED | REDUCTION | ELIMINATIONS | COMPUTER SCIENCE, THEORY & METHODS | ROW | Algorithms | Symbolic Computation | Computer Science
Journal Article
Communications in Algebra, ISSN 0092-7872, 05/2019, Volume 47, Issue 5, pp. 2149 - 2156
We continue the first and second authors' study of q-commutative power series rings and Laurent series rings , specializing to the case in which the... 
Skew power series | q-commutative | 16S34 | Primary: 16W60 | Secondary: 16L30 | skew Laurent series | Unity | Commutation | Roots | Criteria | Factorization | Power series | Rings (mathematics)
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 12/2014, Volume 31, Issue 9, pp. 689 - 700
We show how to find four generic interpolants to a C1 Hermite data-set in the complex representation, using Pythagorean-hodograph curves generated as cuts of... 
Cut of degree [formula omitted] of a Laurent series | PH skew cut | PH skew cut interpolant | Pythagorean hodograph (PH) curve | [formula omitted] Hermite interpolation | Complex representation | Cut of degree of a Laurent series | Hermite interpolation
Journal Article
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