Results 11 to 20 of about 64,006 (257)
Jambura Journal of Mathematics, 2023 The Adomian decomposition method’s effectiveness has been demonstrated in recent research, the process requires several iterations and can be time-consuming.
Kabiru Oyeleye Kareem +5 more
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Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric [PDF]
Journal of Hyperstructures, 2023 The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler (α, β) -metric. Consequently, we obtained the non-holonomic frame with the help of α2=aij(x)yiyj, one form metric β=bi(x)yi and infinite series of (α, β ...
Brijesh Kumar Tripathi, V. K. Chaubey
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Note on the irrationality of certain infinite series [PDF]
Notes on Number Theory and Discrete MathematicsThe aim of this paper is to introduce new criteria for real infinite series that satisfy a specific property and yield an irrational sum. These criteria are based on an extension of previous ideas proposed by Erdos.
Pavel Rucki
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Expansion of multiple series in infinite diagonals
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In this paper a method of summation of double absolutely convergent numerical series was obtained. This method was named the expansion of double numerical series in infinite diagonals.
Anton A Korneev, Olga A Doroshkevich
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On Faster Convergent Infinite Series
International Journal of Mathematics and Mathematical Sciences, 2008 Suffcient conditions, necessary conditions for faster convergent infinite series, faster 𝜏-convergent infinite series are studied. The faster convergence of infinite series of Kummer's type is proved.
Dušan Holý +2 more
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New BBP-Type Formulae for π Derived from New Forms of Taylor Expansions of Inverse Tangent Function
Mathematics, 2022 In this work, we give two new Taylor expansions of arctan(x + ω), where ω represents a finite increment of x. We discover several remarkable infinite series from these expansions by special substitutions.
Xin Wu, Zhongfan Chen, Yinan Zhu
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DIDACTIC VALUE OF MATHEMATICAL CONCEPT
Наука Красноярья, 2015 In article the didactic value of exact mathematical concept on the example of concepts of the section «Numerical Ranks» reveals. The definition of concept of a row specified in this article, fixes the real defining signs allowing to identify unambi ...
Elena Evgenevna Alekseeva
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Series of Floor and Ceiling Functions—Part II: Infinite Series
Mathematics, 2022 In this part of a series of two papers, we extend the theorems discussed in Part I for infinite series. We then use these theorems to develop distinct novel results involving the Hurwitz zeta function, Riemann zeta function, polylogarithms and Fibonacci ...
Dhairya Shah +4 more
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On Infinite Series of Sets [PDF]
Proceedings of the Glasgow Mathematical Association, 1954 We continue our studies (2, 3, 4, 5) of the algebraic, geometric, and analytical similarities and contrasts between Boolean algebras and the real field. In this note we contrast the convergence of series in set algebras with that in the real field.
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Bivariate Infinite Series Solution of Kepler’s Equations
Mathematics, 2021 A class of bivariate infinite series solutions of the elliptic and hyperbolic Kepler equations is described, adding to the handful of 1-D series that have been found throughout the centuries.
Daniele Tommasini
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