Results 21 to 30 of about 100,848 (293)
Some Generalized Power Series Inversions [PDF]
A function $G(\xi ,\eta ,\tau )$ is expanded as a tri-variate power series, and recursion formulas are used to obtain a general inversion algorithm for $G(\xi ,\eta ,\tau ) = 0$ which as an analytical and numerical tool may be specialized to solve a variety of problems.
Estes, R. H., Lancaster, E. R.
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Noetherian properties in composite generalized power series rings
Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
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Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem +2 more
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Finiteness Spaces and Generalized Power Series
We consider Ribenboim's construction of rings of generalized power series. Ribenboim's construction makes use of a special class of partially ordered monoids and a special class of their subsets. While the restrictions he imposes might seem conceptually unclear, we demonstrate that they are precisely the appropriate conditions to represent such monoids
Richard Blute +3 more
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Short-term user load forecasting based on GARCH-M family model with different distributions
Power load forecasting is one of the basic tasks power system research,and time series analysis is currently the most widely used forecasting method. Aiming at the fluctuation and the characteristics of peak and thick tail of user daily load time series ...
WANG Chen, YE Jiangming, HE Jiahong
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Generalized Gompertz-Power Series Distributions
In this paper, we introduce the generalized Gompertz-power series classof distributions which is obtained by compounding generalized Gompertz and power series distributions. This compounding procedure follows same way that was previously carried out by [25] and [3] in introducing the compound class of extended Weibull-power series distribution and the ...
TAHMASEBİ, Saeed, JAFARİ, Ali Akbar
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The Ring Homomorphisms of Matrix Rings over Skew Generalized Power Series Rings
Let M_n (R_1 [[S_1,≤_1,ω_1]]) and M_n (R_2 [[S_2,≤_2,ω_2]]) be a matrix rings over skew generalized power series rings, where R_1,R_2 are commutative rings with an identity element, (S_1,≤_1 ),(S_2,≤_2 ) are strictly ordered monoids, ω_1:S_1→End(R_1 ),〖
Ahmad Faisol, Fitriani Fitriani
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Generalized fractional power series solutions for fractional differential equations
The extension of fractional power series solutions for linear fractional differential equations with variable coefficients is considered. Generalized series expansions involving integer powers and fractional powers in the independent variable have ...
Henry, BI ; https://orcid.org/ +1 more
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A curious property of series involving terms of generalized sequences
Here we are concerned with series involving generalized Fibonacci numbers Un (p,q) and generalized Lucas numbers Vn (p,q). The aim of this paper is to find triples (p,q,r) for which the series Un (p,q)/rn and Vn (p,q)/rn (for r running from 0 to ...
Odoardo Brugia, Piero Filipponi
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New Results on Fractional Power Series: Theory and Applications
In this paper, some theorems of the classical power series are generalized for the fractional power series. Some of these theorems are constructed by using Caputo fractional derivatives.
Ahmad El-Ajou +3 more
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