Results 11 to 20 of about 228,694 (166)
Umbral Theory and the Algebra of Formal Power Series
AxiomsUmbral theory, formulated in its modern version by S. Roman and G. C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory ...
Roberto Ricci
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On quotients of formal power series [PDF]
Information and Computation, 2022 48 pages, 3 figures, 30 ...
Yongming Li 0001, Qian Wang, Sanjiang Li
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Journal of Mathematics, 2021 The generalisation of questions of the classic arithmetic has long been of interest. One line of questioning, introduced by Car in 1995, inspired by the equidistribution of the sequence nαn∈N where ...
Wiem Gadri
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Ranking and formal power series
Theoretical Computer Science, 1991 The ranking problem for a language \(L\subseteq A^*\) is the following: given w in L, compute the integer n such that w is the n-th element of L for the lexicographic order (u\(\leq v\) if either \(| u|
A. Bertoni, D. Bruschi, M. Goldwurm
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An Invitation to Formal Power Series
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2022 Abstract This is an account on the theory of formal power series developed entirely without any analytic machinery. Combining ideas from various authors we are able to prove Newton’s binomial theorem, Jacobi’s triple product, the Rogers–Ramanujan identities and many other prominent results.
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Convergence of a formal power series and Gelfond-Leont’ev derivatives [PDF]
Математичні Студії, 2011 Given a formal power series, we establish conditions on the formal power seriess under which the series represents a function analytic in the disk {z:|z|≤R},R∈(0,+∞]. We also give a survey of well-know results for the case R=+∞.
S. I. Fedynyak, M. M. Sheremeta
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Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel
Fractal and Fractional, 2021 In this paper, we consider the Prabhakar fractional logistic differential equation. By using appropriate limit relations, we recover some other logistic differential equations, giving representations of each solution in terms of a formal power series ...
Iván Area, Juan J. Nieto
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Skew and infinitary formal power series
Theoretical Computer Science, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manfred Droste, Dietrich Kuske
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Approximately Multiplicative Functionals on the Spaces of Formal Power Series
Abstract and Applied Analysis, 2011 We characterize the conditions under which approximately multiplicative functionals are near multiplicative functionals on weighted Hardy spaces.
F. Ershad, S. H. Petroudi
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Mathematics, 2020 We consider a family of nonlinear singularly perturbed PDEs whose coefficients involve a logarithmic dependence in time with confluent Fuchsian singularities that unfold an irregular singularity at the origin and rely on a single perturbation parameter ...
Stephane Malek
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