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Random Regression Models Using Legendre Polynomials to Estimate Genetic Parameters for Test-day Milk Protein Yields in Iranian Holstein Dairy Cattle
Holstein Dairy Cattle Milk Protein Yields Random Regression Model Test-day Records
2016/12/28
The objective of this study was to estimate the genetic parameters of milk protein yields in Iranian Holstein dairy cattle. A total of 1,112,082 test-day milk protein yield records of 167,269 first la...
Congruences concerning Legendre polynomials II
Legendre polynomial congruence character sum binary quadratic form
2011/2/22
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.
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 Pp−1 k=0 (6k)! mk(3k)!k!3 (mod p), and show that for integers m, n w...
Let p be an odd prime. In the paper, by using the properties of Legendre polynomials we prove some congruences for P p−1 2 k=0 2k k 2 m−k (mod p2). In particular, we confirm se...
On the Inequality of P. Turan for Legendre Polynomials
Orthogonal polynomials Legendre polynomials Turan Inequality Positivity
2008/6/27
On the Inequality of P. Turan for Legendre Polynomials.
SOME EXTREMAL PROPERTIES OF THE INTEGRAL OF LEGENDRE POLYNOMIALS
Lagrange interpolation Legend
2007/12/11
Some extremal properties of the integral of Legendre polynomials are given, which are of independent interest. Meanwhile they show that a conjecture of P. Erdos[1] is plausible and maybe provides some...
New Form of Legendre Polynomials Obtained by Virtue of
Excited Squeezed State and IWOP Technique in Quantum Optics
excited squeezed state IWOP technique Legendre polynomial's new form
2007/8/15
2006Vol.46No.5pp.845-848DOI:
New Form of Legendre Polynomials Obtained by Virtue of
Excited Squeezed State and IWOP Technique in Quantum Optics
FAN Hong-Yi,1,2 MENG Xiang-Guo,1 an...