The Laguerre polynomials {L0(x), L1(x) . . .} form an orthogonal set on [0,) and satisfy For
Question:
For i ‰ j. The polynomial Ln(x) has n distinct zeros x1, x2, . . . , xn in [0,ˆž). Let
Show that the quadrature formula
Transcribed Image Text:
100 ,-"Li(x)Li(x) dx 0, e = dr i-X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (8 reviews)
The polynomial L n x has n distinct zeros in 0 Let x 1 x n be the n distinct zer...View the full answer
Answered By
Anurag Agrawal
I am a highly enthusiastic person who likes to explain concepts in simplified language. Be it in my job role as a manager of 4 people or when I used to take classes for specially able kids at our university. I did this continuously for 3 years and my god, that was so fulfilling. Sometimes I've skipped my own classes just to teach these kids and help them get their fair share of opportunities, which they would have missed out on. This was the key driver for me during that time. But since I've joined my job I wasn't able to make time for my passion of teaching due to hectic schedules. But now I've made a commitment to teach for at least an hour a day.
I am highly proficient in school level math and science and reasonably good for college level. In addition to this I am especially interested in courses related to finance and economics. In quest to learn I recently gave the CFA level 1 in Dec 19, hopefully I'll clear it. Finger's crossed :)
4.80+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
The third major technique for polynomial interpolation is interpolation using Lagrange interpolating polynomials. Given a set of distinct x-values x0, x1, ... xn, define the n + 1 Lagrange...
-
Suppose that f: (0, ) R is continuous and bounded and that £{f} exists at some a (0, ). Let a) Prove that for all N N. b) Prove that the integral «0 e-(s-a)t(ɸ)(t)dt...
-
The Bernstein polynomial of degree n for f C [0, 1] is given by Where (n/k) denotes n!/k!(n k)!. These polynomials can be used in a constructive proof of the Weierstrass Approximation Theorem 3.1...
-
What is the difference between a market system and a market? How Can you have a market without a market system? Why or why not? How about the other way around? Can you have a market system without a...
-
What factors have motivated financial institutions to develop funds management techniques in recent years?
-
Assume the variables result, w, x, y, and z are all integers, and that w = 5, x = 4, y = 8, and z = 2. What value will be stored in result after each of the following statements execute? a. Result =...
-
Describe the concept of the life cycle object, how it relates to collection objects, and give an example of a life cycle class with appropriate attributes.
-
If a company has beginning inventory of $30,000 and ending inventory of $55,000, compute its average inventory. If the COGS are $140,000, compute its inventory turnover and determine how many days...
-
At the beginning of 20x7, the accounts receivable had a beginning balance of $20,000 and allowance for doubtful accounts had a beginning credit balance of 3,000. The following information occurs...
-
1. What was GreenWoods rationale for entering China in 2005? What entry strategy did GreenWood use to enter China? What were the advantages and disadvantages of the China entry decision? 2. What...
-
Use the transformation t = x1 and then the Composite Simpson's rule and the given values of n to approximate the following improper integrals. ds, n=4 1+xi cosx dr, n=6
-
The Laguerre polynomials L0(x) = 1, L1(x) = 1 x, L2(x) = x2 4x + 2, and L3(x) = x3 + 9x2 18x + 6 are derived in Exercise 11 of Section 8.2. As shown in Exercise 6, these polynomials are useful in...
-
Table 19-1 lists foreign exchange rates for July 25, 2005. On that day, how many dollars would be required to purchase 1,000 units of each of the following: British pounds, Canadian dollars, EMU...
-
Godfrey is a director of Hospitality Hotel Corporation. Like most directors, Godfrey was most likely a. appointed by the secretary of state in the state of incorporation. b. chosen by a vote of the...
-
A patient who has recently been dispensed a prescription medication angrily confronts the pharmacist. The patient has read the CMI included with the product and notes that the drug is not indicated...
-
The consumer price index in the United States (base period 19821984) was 226.229 in 2012 and 229.324 in 2013. Calculate the inflation rate from 2012 to 2013.
-
For fifty years, the Soviet Union made and sold Stolichnaya vodka and licensed its trademark for use in the United States. After the Soviet Union collapsed, the state enterprise that had managed the...
-
Hong Electronics, a state-owned factory in the Peoples Republic of China, made counterfeit parts that were misrepresented as genuine and sold in the United States. Integrated Technology Corp., a U.S....
-
Find the mean, median, mode and range of each set of numbers. a. 1 1 2 3 3 4 4 4 4 5 5 b. 3.2 4.8 5.6 5.6 7.3 8.9 9.1 c. 1 2 3 4 4 3 2 4 2 3 6 4 0
-
"Standard-cost procedures are particularly applicable to process-costing situations." Do you agree? Why?
-
Let three random samples of sizes n1 = 20, n2 = 10, and n3 = 8 be taken from a population with mean and variance 2. Let S2/1, S2/2, and S2/3 be the sample variances. Show that S2 = (20S2/1 + 10S2/2 +...
-
a) Show that = 1 (Xi X)2/n. is a biased estimator of 2. (b) Find the amount of bias in the estimator. (c) What happens to the bias as the sample size n increases? (
-
Let X1, X2, . , Xn be a random sample of size n from a population with mean and variance 2. (a) Show that X2 is a biased estimator for 2. (b) Find the amount of bias in this estimator. (c) What...
-
Apply Euler's method by hand with N = 4 to find yo, Y1, Y2, Y3, Y4 on [0,1] where Y' y' = - 2y + 3t y(0) =1 Note: Please don't use Python for this. You are allowed to use a calculator do the...
-
What amount paid on September 6 is equivalent to $ 2 , 6 0 0 paid on the following December 1 if money can earn 6 . 6 % ? ( Use 3 6 5 days a year. Do not round intermediate calculations and round...
-
For R1= 6.8k, and R2= 1k, Then: V(1) = v V. 1(2) = mA.
Study smarter with the SolutionInn App