Results 21 to 30 of about 95,896 (162)
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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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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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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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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Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk
We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu type power series involving factorials in its coefficients.
Živorad Tomovski +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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Multisummability for generalized power series
AbstractWe develop multisummability, in the positive real direction, for generalized power series with natural support, and we prove o-minimality of the expansion of the real field by all multisums of these series. This resulting structure expands both $\mathbb {R}_{\mathcal {G}}$ and the reduct of $\mathbb {R}_{\text {an}^*}$ generated by all ...
Jean-Philippe Rolin +2 more
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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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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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