seira askhsewn 3 - PMS “ FUSIKH KAI TEQNOLOGIKES...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PMS “ FUSIKH KAI TEQNOLOGIKES EFARMOGES ” TOMEAS FUSIKHS SEMFE EMP - SQOLH MHQANOLOGWN MHQANIKWN EMP - EKEFE “ DHMOKRITOS ” HLEKTROMAGNHTISMOS I: TRITH SEIRA ASKHSEWN 19. ApodeÐxte ìti: 1- t 2 (1- 2 xt + t 2 ) 3 2 = ∑ ∞ l =0 (2 l + 1) P l ( x ) t l . 20. AnaptÔssontac ton paronomast , upologÐste to olokl rwma: I ≡ R π A cos θ + 1 ( A 2 + 2 A cos θ + 1) 1 2 sin θdθ. 21. (a)Na upologisteÐ to olokl rwma: I = R 1 dxP 2 l +1 ( x ) . (b) Na anaptuqjeÐ se seir Legendre h sunrthsh f ( x ) = | x | , orismènh sto disthma [- 1 , +1] . 22. ApodeÐxte ìti ∂ ∂z • P l (cos θ ) r l +1 ‚ =- ( l + 1) P l +1 (cos θ ) r l +2 . (UpenjÔmish : ∂ ∂z = cos θ ∂ ∂r- sin θ 1 r ∂ ∂θ ) 23. ApodeÐxte ìti P l (cos θ ) = (- 1) l r l +1 l ! ∂ l ∂z l 1 r ¶ . MporeÐte na sugkrÐnete thn anptuxh thc genn triac sunrthshc me èna anptugma Taylor tou 1 √ x 2 + y 2 +( z- δz ) 2 se dunmeic tou δz....
View Full Document

This note was uploaded on 10/02/2009 for the course G 001 taught by Professor Shmmygr during the Spring '07 term at National Technical University of Athens, Athens.

Page1 / 2

seira askhsewn 3 - PMS “ FUSIKH KAI TEQNOLOGIKES...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online