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Baer rings of generalized power series [PDF]
Glasgow Mathematical Journal, 2002 We show that if R is a commutative ring and (S, \leq ) a strictly totally ordered monoid, then the ring [[R^{S, \leq }]] of generalized power series is Baer if and only if R is Baer.
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ACCOUNTING OF TUNNELING EFFECTS WHEN CALCULATING THE ENERGY SPECTRUM OF THE SCHRÖDINGER EQUATION
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2019 The general scheme of the method for integrating second-order differential equations in the form of power series is presented. The obtained results for the Schrödinger equation with potentials with two and three minima for quantum anharmonic oscillators ...
I.N. Belyaeva +3 more
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Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance
Abstract and Applied Analysis, 2013 The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and
Hanze Liu
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Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2019 The general scheme of the method of integration of the second order ordinary differential equations with regular singular points is outlined. The algorithm of finding a general solution of the second order differential equation with regular singular ...
I.N. Belyaeva +5 more
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A new extension on the theorem of Bor
Comptes Rendus. Mathématique, 2021 In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
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On morphically generated formal power series [PDF]
RAIRO - Theoretical Informatics and Applications, 1995 Summary: We define morphically generated formal power series and study their properties.These series are obtained by interpreting various \(L\) systems as mechanisms to generate power series. The well-known classes of rational and algebraic power series are obtained as a special case.
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On Power Series in General Analysis
Mathematische Annalen, 1922 In his paper 1) : Wesen und Ziele einer Analysis der unendlichvielen unabhangigen Variablen, of 1909 Hilbert has given, with indications of the earlier literature, a sketch of the theory of functions of denumerably infinitely many independent variables in its central position amongst the various doctrines of Analysis.
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Energies, 2020 Electric Vehicles (EVs) play a significant role in the reduction of CO2 emissions and other health-threatening air pollutants Accordingly, several research studies are introduced owing to replacing conventional gasoline-powered vehicles with battery ...
Mena ElMenshawy, Ahmed Massoud
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Journal of Statistical Theory and Applications (JSTA), 2020 In certain experimental investigations involving discrete distributions external factors may induce measurement error in the form of misclassification.
Peer Bilal Ahmad
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On the Complexity of Composition and Generalized Composition of Power Series
SIAM Journal on Computing, 1980 Let F(x) = f1x + f2(x)(x) + . . . be a formal power series over a field Delta. Let F superscript 0(x) = x and for q = 1,2 . . . , define F superscript q(x) = F superscript (q-1) (F(x)). The obvious algorithm for computing the first n terms of F superscript q(x) is by the composition position analogue of repeated squaring.
Brent, R. P., Traub, Joseph F.
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