Representations of functions as power series Find a power series representation for the function.f(x) = (8+x)/ (1-x)2f(x) = ∑(from n=0 to ∞) ( ? )Follow • 1 Add comment 1 Expert Answer Best Newest Oldest
LREtools[hypergeomsols] is internally used by convert/FormalPowerSeries. However, using van Hoeij's algorithm one cannot compute m-fold hypergeometric term solutions of holonomic REs, for integers m>1. Given a field K of characteristic zero, a term a(n) is said to be m-fold hypergeometric...
Book TitleMöbius Functions, Incidence Algebras and Power Series Representations AuthorsArne Dür Series TitleLecture Notes in Mathematics DOIhttps://doi.org/10.1007/BFb0077472 PublisherSpringer Berlin, Heidelberg eBook PackagesSpringer Book Archive
Mobius Functions, Incidence Algebras and Power Series Representations 作者:Arne Dr/Arne Dur 页数:134 ISBN:9783540167716 豆瓣评分 目前无人评价 写笔记 写书评 加入购书单 分享到
We have discovered three non-power infinite series representations for Bessel functions of the first kind of integer orders and real arguments. These series contain only elementary functions and are remarkably simple. Each series was derived as a Fourier series of a certain function that contains ...
We develop the SPPS representations for solutions of Sturm–Liouville equations of the formp(x)u′′+q(x)u=∑k=1NλkRku,x∈(a,b)where Rkurk(x)u+sk(x)u′,k=1,…N, the complex-valued functions p, q, rk, sk are continuous on the finite segment a,b. Several numerical examples ...
Recent work on the visual processing of actions has identified several such intermediate-level visual features that might influence intuitive action perception. These include an action's movement kinematics, such as the body parts involved in an action and the movement's speed and direction (e.g....
Mathematical operations on uncertain_measurements will propagate the uncertainty and convert it as necessary. The class also includes functions for simple-uncertainty propagation like simple_subtract which just sums the uncertainties. The sum-of-squares methods is used in the overloaded math operators. ...
1a). Single- and multi-unit recordings from the motor cortex were used as input to a BMI decoder, while local-field potentials (LFP) were simultaneously recorded from three regions of interest (ROIs): M1, DLPFC, and Cd. Each day, the animals performed a two-dimensional, self-initiated, ...
Discover Global Society Research Power, interests and representations in the construction of alcopop as public problem in Quebec, Canada Yannick Masse1 · Lilian Negura1 Received: 10 May 2024 / Accepted: 14 August 2024 © The Author(s) 2024 OPEN Abstract ...