Results 11 to 20 of about 932,641 (268)

On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method

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, Morufu Olayiwola, Oladapo Asimiyu, Yunus Akeem, Kamilu Adedokun, Ismail Alaje   +5 more
doaj   +1 more source

Note on the irrationality of certain infinite series [PDF]

Notes on Number Theory and Discrete Mathematics
The 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
doaj   +1 more source

Convergence acceleration and accuracy improvement in power bus impedance calculation with a fast algorithm using cavity modes [PDF]

, 2005
Based on the cavity-mode model, we have developed a fast algorithm for calculating power bus impedance in multilayer printed circuit boards. The fast algorithm is based on a closed-form expression for the impedance Z matrix of a rectangular power bus ...
Koga, Ryuji, Toyota, Yoshitaka, Wada, Osami, Wang, Zhi Liang   +3 more
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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
doaj   +1 more source

Eisenstein series for infinite-dimensional U-duality groups [PDF]

, 2012
We consider Eisenstein series appearing as coefficients of curvature corrections in the low-energy expansion of type II string theory four-graviton scattering amplitudes.
A Basu, A Basu, A Font, A Kleinschmidt, A Kleinschmidt, A Kleinschmidt, A Kleinschmidt, A Sen, Axel Kleinschmidt, B Julia, B Julia, B Pioline, B Pioline, B Pioline, C Hull, C Moeglin, D Ginzburg, D Kazhdan, D Maison, DH Peterson, DJ Gross, E Cremmer, E Cremmer, E Cremmer, E Kiritsis, F Englert, F Gubay, G Bossard, G Bossard, G Bossard, H Garland, H Garland, H Nicolai, H Nicolai, I Antoniadis, J Brown, K Meissner, K Narain, L Bao, L Bao, M Blau, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, N Beisert, N Lambert, N Lambert, N Obers, N Obers, N Obers, P Breitenlohner, PC West, Philipp Fleig, R Kallosh, RP Geroch, RP Langlands, S Elitzur, S Kudla, S Mizoguchi, T Damour, T Damour, T Damour, T Damour, T Damour, V Belinskii, V Kac, VG Kac, Y Michel   +74 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
doaj   +1 more source

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, Ladislav Matejíčka, Ľudovít Pinda   +2 more
doaj   +1 more source

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
doaj   +1 more source

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, Manoj Sahni, Ritu Sahni, Ernesto León-Castro, Maricruz Olazabal-Lugo   +4 more
doaj   +1 more source

Weyl group multiple Dirichlet series constructed from quadratic characters [PDF]

, 2006
We construct multiple Dirichlet series in several complex variables whose coefficients involve quadratic residue symbols. The series are shown to have an analytic continuation and satisfy a certain group of functional equations.
A. Diaconu, B. Brubaker, B. Fisher, B. Fisher, C.L. Siegel, D. Bump, D. Bump, D. Bump, D. Bump, D. Goldfeld, G. Chinta, G. Chinta, Gautam Chinta, K. Soundararajan, Paul E. Gunnells, S. Bochner, S. Friedberg   +16 more
core   +3 more sources