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Example 6-44. Show that eitr = 1 + (eit – 1) x(1) + (e# – 1)2 ) + + (eit – 1y. where x =x (x – 1) (r - 2)... (x-r+ 1). Hence show that Ho = (D' ¢ (1)1, = 0, where D = d and Hri is the rth factorial d(e) moment,

Example 6-44. Show that eitr = 1 + (eit – 1) x(1) + (e# – 1)2 ) + + (eit – 1y. where x =x (x – 1) (r - 2)... (x-r+ 1). Hence show that Ho = (D' ¢ (1)1, = 0, where D = d and Hri is the rth factorial d(e) moment,

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Example 6-44. Show that eitr = 1 + (eit – 1) x(1) + (elt – 1)2 2! + (eit – 1y.* + where x) = x (x - 1) (r - 2) ... (x -r+ 1). Hence show that d Hen' = [D' ¢ (1), - 0, where D = and Heni is the rh factorial d (e") moment,
Transcribed Image Text:Example 6-44. Show that eitr = 1 + (eit – 1) x(1) + (elt – 1)2 2! + (eit – 1y.* + where x) = x (x - 1) (r - 2) ... (x -r+ 1). Hence show that d Hen' = [D' ¢ (1), - 0, where D = and Heni is the rh factorial d (e") moment,
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