Legendre polynomials

Known as: Legendre's differential equation, Legendre equation and polynomials, Legendre polynomial 
In mathematics, Legendre functions are solutions to Legendre's differential equation: They are named after Adrien-Marie Legendre. This ordinary… (More)
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Papers overview

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2014
2014
Synchronized phasor measurement and Phasor Measurement Units (PMUs) have gained global acceptance and wide application in modern… (More)
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2013
2013
Abstract. Let p > 3 be a prime, and let m be an integer with p ∤ m. In the paper we solve some conjectures of Z.W. Sun concerning… (More)
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2013
2013
Let p > 3 be a prime, and let Rp be the set of rational numbers whose denominator is not divisible by p. Let {Pn(x)} be the… (More)
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2011
2011
Let p be an odd prime. In the paper, by using the properties of Legendre polynomials we prove some congruences for È p−1 2 k=0 2k… (More)
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2008
2008
In this paper we propose a new Legendre Polynomials based ECG biometric technique that can efficiently be used for person… (More)
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2007
2007
The factorization of the Legendre polynomial of degree (p− e)/4, where p is an odd prime, is studied over the finite field Fp. It… (More)
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2006
2006
Let ∆n(x) = Pn(x) 2 − Pn−1(x)Pn+1(x), where Pn is the Legendre polynomial of degree n. A classical result of Turán states that ∆n… (More)
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Highly Cited
2004
Highly Cited
2004
By convention, the translation and scale invariant functions of Legendre moments are achieved by using a combination of the… (More)
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Highly Cited
2004
Highly Cited
2004
This paper presents a new hierarchical basis of arbitrary order for integral equations solved with the method of moments (MoM… (More)
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Highly Cited
1994
Highly Cited
1994
  • Jie Shen
  • SIAM J. Scientific Computing
  • 1994
We present some efficient algorithms based on the Legendre-Galerkin approximations for the direct solution of the second and… (More)
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