Power Series of Positive Linear Operators
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DOI: 10.1007/s00009-019-1313-2
Abstract: We describe a unifying approach for studying the power series of the positive linear operators from a certain class. For the same operators, we give simpler proofs of some known ergodic theorems. read more here.
Keywords: positive linear; power series; linear operators; series positive ... See more keywords
Multidimensional Associated Fractions with Independent Variables and Multiple Power Series
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DOI: 10.1007/s11253-019-01652-5
Abstract: We establish the conditions of existence and uniqueness of a multidimensional associated fraction with independent variables corresponding to a given formal multiple power series and deduce explicit relations for the coefficients of this fraction. The… read more here.
Keywords: power series; multidimensional associated; independent variables; multiple power ... See more keywords
Approximate analytical solution for the propagation of shock waves in self-gravitating perfect gas via power series method: isothermal flow
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Astrophysics and Astronomy"
DOI: 10.1007/s12036-020-09638-7
Abstract: For the propagation of a shock (blast) in a self-gravitating perfect gas in case of spherical and cylindrical symmetry, an approximate analytical solution is investigated. The shock wave is considered to be a strong one,… read more here.
Keywords: shock; power series; solution; self gravitating ... See more keywords
Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems
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DOI: 10.1007/s12190-016-1056-1
Abstract: In this paper, a recent analytic iterative technique, named as residual power series method is implemented to find the approximate solution of the nonlinear time-space-fractional Benney-Lin equation. The convergence analysis of the proposed scheme is… read more here.
Keywords: residual power; time space; series method; power series ... See more keywords
Expansions of the exponential and the logarithm of power series and applications
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DOI: 10.1007/s40065-017-0166-4
Abstract: In the paper, the authors establish explicit formulas for asymptotic and power series expansions of the exponential and the logarithm of asymptotic and power series expansions. The explicit formulas for the power series expansions of… read more here.
Keywords: expansions exponential; exponential logarithm; logarithm power; power series ... See more keywords
Approximation via Power Series Method in Two-Dimensional Weighted Spaces
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DOI: 10.1007/s40840-020-00902-1
Abstract: In this work, we obtain a Korovkin-type approximation theorem for double sequences of real-valued functions by using the power series method in two-dimensional weighted spaces. We also study the rate of convergence by using the… read more here.
Keywords: dimensional weighted; approximation; series method; power series ... See more keywords
The exponentiated generalized power series
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DOI: 10.1016/j.heliyon.2020.e04653
Abstract: We propose a new generalized family of distributions called the exponentiated generalized power series (EGPS) family of distributions and study its sub-model, the exponentiated generalized logarithmic (EGL) class of distributions, in detail. The structural properties… read more here.
Keywords: exponentiated generalized; family distributions; generalized power; power series ... See more keywords
Power series expansion of axially symmetric toroidal harmonics for toroidal ion trap
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DOI: 10.1016/j.ijms.2019.116261
Abstract: Abstract This study presents a method to obtain power series expansions of toroidal harmonics in terms of radial and axial distances from the trapping circle. In order to obtain the power series expansion of individual… read more here.
Keywords: harmonics; series expansion; power series; toroidal harmonics ... See more keywords
Transcendental degree in power series rings
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DOI: 10.1016/j.jalgebra.2017.12.025
Abstract: Abstract Let D be an integral domain with quotient field K. Let D [ [ x ] ] and K [ [ x ] ] be the power series ring over D and K, respectively.… read more here.
Keywords: quotient field; power series; transcendental degree;
On complemented subspaces of non-Archimedean Köthe spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.10.011
Abstract: Abstract The generalized power series spaces D f ( a , r ) are the most known and important examples of nuclear Kothe spaces. We prove that every Kothe–Montel space (over a non-Archimedean field K… read more here.
Keywords: subspaces non; power series; complemented subspaces; generalized power ... See more keywords
Characterization of 2-ramified power series
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DOI: 10.1016/j.jnt.2016.10.005
Abstract: In this paper we study lower ramification numbers of power series tangent to the identity that are defined over fields of positive characteristics p. Let g be such a series, then g has a fixed… read more here.
Keywords: ramified power; series; characterization ramified; power series ... See more keywords