References of "Tomaschek, Jörg 40080344"      in Complete repository Arts & humanities   Archaeology   Art & art history   Classical & oriental studies   History   Languages & linguistics   Literature   Performing arts   Philosophy & ethics   Religion & theology   Multidisciplinary, general & others Business & economic sciences   Accounting & auditing   Production, distribution & supply chain management   Finance   General management & organizational theory   Human resources management   Management information systems   Marketing   Strategy & innovation   Quantitative methods in economics & management   General economics & history of economic thought   International economics   Macroeconomics & monetary economics   Microeconomics   Economic systems & public economics   Social economics   Special economic topics (health, labor, transportation…)   Multidisciplinary, general & others Engineering, computing & technology   Aerospace & aeronautics engineering   Architecture   Chemical engineering   Civil engineering   Computer science   Electrical & electronics engineering   Energy   Geological, petroleum & mining engineering   Materials science & engineering   Mechanical engineering   Multidisciplinary, general & others Human health sciences   Alternative medicine   Anesthesia & intensive care   Cardiovascular & respiratory systems   Dentistry & oral medicine   Dermatology   Endocrinology, metabolism & nutrition   Forensic medicine   Gastroenterology & hepatology   General & internal medicine   Geriatrics   Hematology   Immunology & infectious disease   Laboratory medicine & medical technology   Neurology   Oncology   Ophthalmology   Orthopedics, rehabilitation & sports medicine   Otolaryngology   Pediatrics   Pharmacy, pharmacology & toxicology   Psychiatry   Public health, health care sciences & services   Radiology, nuclear medicine & imaging   Reproductive medicine (gynecology, andrology, obstetrics)   Rheumatology   Surgery   Urology & nephrology   Multidisciplinary, general & others Law, criminology & political science   Civil law   Criminal law & procedure   Criminology   Economic & commercial law   European & international law   Judicial law   Metalaw, Roman law, history of law & comparative law   Political science, public administration & international relations   Public law   Social law   Tax law   Multidisciplinary, general & others Life sciences   Agriculture & agronomy   Anatomy (cytology, histology, embryology...) & physiology   Animal production & animal husbandry   Aquatic sciences & oceanology   Biochemistry, biophysics & molecular biology   Biotechnology   Entomology & pest control   Environmental sciences & ecology   Food science   Genetics & genetic processes   Microbiology   Phytobiology (plant sciences, forestry, mycology...)   Veterinary medicine & animal health   Zoology   Multidisciplinary, general & others Physical, chemical, mathematical & earth Sciences   Chemistry   Earth sciences & physical geography   Mathematics   Physics   Space science, astronomy & astrophysics   Multidisciplinary, general & others Social & behavioral sciences, psychology   Animal psychology, ethology & psychobiology   Anthropology   Communication & mass media   Education & instruction   Human geography & demography   Library & information sciences   Neurosciences & behavior   Regional & inter-regional studies   Social work & social policy   Sociology & social sciences   Social, industrial & organizational psychology   Theoretical & cognitive psychology   Treatment & clinical psychology   Multidisciplinary, general & others     Showing results 1 to 15 of 15 1 A remark on Schröder's equation: Formal and analytic linearization of iterative roots of the power series f(z)=zReich, Ludwig; Tomaschek, Jörg in Monatshefte für Mathematik (in press)We study Schröder’s equation (i.e. the problem of linearization) for local analytic functions F with F (0)=0, F(0)=1, F(0) a root of 1. While Schröder’s equation in this case need not have even a formal ... [more ▼]We study Schröder’s equation (i.e. the problem of linearization) for local analytic functions F with F (0)=0, F(0)=1, F(0) a root of 1. While Schröder’s equation in this case need not have even a formal solution, we show that if F is formally linearizable, then it can also be linearized by an invertible local analytic transformation. On the other hand, there exist also divergent series solutions of Schröder’s equation in this situation. We give some applications of our results to iterative functional equations, functional-differential equations and iteration groups. [less ▲]Detailed reference viewed: 113 (14 UL) Power series solutions of Tarski's associativity law and of the cyclic associativity lawSchölzel, Karsten ; Tomaschek, Jörg in Aequationes Mathematicae (2016), 90(2), 411425Detailed reference viewed: 81 (3 UL) Generalized Dhombres equations in the complex domain a surveyTomaschek, Jörg ; Reich, Ludwigin ESAIM:Proceedings and Surveys (2014, November)In this survey paper we present the Main Theorems related to the generalized Dhombres equation in the complex domain. We discuss the local as well as the global theory. This includes formal, local ... [more ▼]In this survey paper we present the Main Theorems related to the generalized Dhombres equation in the complex domain. We discuss the local as well as the global theory. This includes formal, local analytic, entire and meromorphic solutions. [less ▲]Detailed reference viewed: 75 (0 UL) Associative Formal Power Series in Two IndeterminatesFripertinger, Harald; Reich, Ludwig; Schwaiger, Jens et alin Semigroup Forum (2014), 88(3), 529-540Investigating the associativity equation for formal power series in two variables we show that the transcendental associative formal power series are of order one or two and that they can be represented ... [more ▼]Investigating the associativity equation for formal power series in two variables we show that the transcendental associative formal power series are of order one or two and that they can be represented by an invertible formal power series in one variable. We also discuss the convergence of associative formal power series. [less ▲]Detailed reference viewed: 103 (5 UL) Local solutions of the generalized Dhombres functional equation in a neighbourhood of infinityTomaschek, Jörg ; Reich, Ludwigin ESAIM: Proceedings and Surveys (2014), 46Detailed reference viewed: 79 (0 UL) On capital stocks related to reciprocal shareholdingsPetritz, Erika; Schwaiger, Jens; Tomaschek, Jörg E-print/Working paper (2014)Detailed reference viewed: 72 (4 UL) On the characterization of generalized Dhombres equations having non constant local analytic or formal solutionsReich, Ludwig; Tomaschek, Jörg in Annales Universitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae Sectio Computatorica (2013), 41We discuss solvability conditions of the generalized Dhombres functional equation in the complex domain. Our focus lies on the so-called 'infinity' case, but also the $z_0$--case is investigated. That ... [more ▼]We discuss solvability conditions of the generalized Dhombres functional equation in the complex domain. Our focus lies on the so-called 'infinity' case, but also the $z_0$--case is investigated. That means that we consider solutions of a generalized Dhombres equation with initial value $f(\infty)=w_0$, $w_0 \neq 0$, or $f(\infty)=\infty$, or $f(z_0)=1$ for $z_0 \neq 0, \infty$. For both situations we give a characterization of the generalized Dhombres equations which are solvable. [less ▲]Detailed reference viewed: 74 (2 UL) Associative formal power series in two indeterminatesTomaschek, Jörg Scientific Conference (2013, September 24)Detailed reference viewed: 82 (3 UL) On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet typeReich, Ludwig; Tomaschek, Jörg in Computational Methods and Function Theory (2013), 13(3), 383-395We look for solutions of the functional-differential equation f(φ(z))=a(z)f(z)f′(z) for given series φ and a . We show that all formal solutions f of this equation are local analytic. In order to do this ... [more ▼]We look for solutions of the functional-differential equation f(φ(z))=a(z)f(z)f′(z) for given series φ and a . We show that all formal solutions f of this equation are local analytic. In order to do this we transform the equation to a special type of Briot–Bouquet differential equation. [less ▲]Detailed reference viewed: 94 (2 UL) Associativity in rings of formal power seriesTomaschek, Jörg Scientific Conference (2013, June 20)Detailed reference viewed: 25 (1 UL) On the characterization of generalized Dhombres functional equationsTomaschek, Jörg Scientific Conference (2013, May 23)Detailed reference viewed: 27 (3 UL) Associativity in formal power series rings and polynomial ringsTomaschek, Jörg Presentation (2013, February 26)Detailed reference viewed: 32 (4 UL) Some remarks to the formal and local theory of the generalized Dhombres functional equationReich, Ludwig; Tomaschek, Jörg in Results in Mathematics [=RM] (2013), 63(1-2), 377-395We are looking for local analytic respectively formal solutions of the generalized Dhombres functional equation $f(zf(z))=\varphi(f(z))$ in the complex domain. First we give two proofs of the existence ... [more ▼]We are looking for local analytic respectively formal solutions of the generalized Dhombres functional equation $f(zf(z))=\varphi(f(z))$ in the complex domain. First we give two proofs of the existence theorem about solutions $f$ with $f(0) = w_0$ and $w_0 \in \mathbb{C}^\star \setminus \mathbb{E}$ where $\mathbb{E}$ denotes the group of complex roots of $1$. Afterwards we represent solutions $f$ by means of infinite products where we use on the one hand the canonical convergence of complex analysis, on the other hand we show how solutions converge with respect to the weak topology. In this section we also study solutions where the initial value $z_0$ is different from zero. [less ▲]Detailed reference viewed: 80 (2 UL) Formal solutions of the generalized Dhombres functional equation with value one at zeroTomaschek, Jörg ; Reich, Ludwigin Aequationes Mathematicae (2012), 83(1), 117-126We study formal solutions f of the generalized Dhombres functional equation f(zf(z))=φ(f(z)). Unlike in the situation where f(0) = w 0 and w0∈C∖E where E denotes the complex roots of 1, which were already ... [more ▼]We study formal solutions f of the generalized Dhombres functional equation f(zf(z))=φ(f(z)). Unlike in the situation where f(0) = w 0 and w0∈C∖E where E denotes the complex roots of 1, which were already discussed, we investigate solutions f where f(0) = 1. To obtain solutions in this case we use new methods which differ from the already existing ones [less ▲]Detailed reference viewed: 86 (0 UL) Some aspects of the local theory of generalized Dhombres functional equations in the complex domainTomaschek, Jörg in ESAIM: Proceedings and Surveys (2012), 36We study the generalized Dhombres functional equation f(zf(z)) = ϕ(f(z)) in the complex domain. The function ϕ is given and we are looking for solutions f with f(0) = w0 and w0 is a primitive root of ... [more ▼]We study the generalized Dhombres functional equation f(zf(z)) = ϕ(f(z)) in the complex domain. The function ϕ is given and we are looking for solutions f with f(0) = w0 and w0 is a primitive root of unity of order l ≥ 2. All formal solutions for this case are described in this work, for the situation where ϕ can be transformed into a function which is linearizable and local analytic in a neighbourhood of zero we also show that we obtain local analytic solutions. We also discuss an example where it is possible to use other methods than we use in the general case. [less ▲]Detailed reference viewed: 77 (0 UL) 1