Recent content by vgarg

Can someone please explain the steps for the integrations in red circles on the attached page? This a page from Riley, Hobson, Bence - Mathematical Methods for Physics and Engineering 2006 edition. Thank you.

Thank you! Can someone else please try to explain this to me?

Thank you! Could you please explain where does the 2nd ## 2^l l! ## term in ## 2^l l! \frac{2^l l!}{(2l+1)!} 2 ## in the lower circle come from? It has two ## 2^l l! ## terms in the numerator.

Can someone please show/explain to me the steps between the 2 circled formulas on the attached page #582 from Riley, Hobson, Bence - Mathematical Methods for Physics and Engineering 3rd edition. Thank you!

Can one of the mentors please move this thread to Mathematics, Calculus forum? May be someone in that form can help me with this. Thank you!

But why in only 2 directions and not in the other 2 directions?

Can someone please explain me the rationale for the terms circled in red on the attached copy of page 400 of "Riley, Hobson, Bence - Mathematical Methods for Physics and Engineering, 3rd edition"? Thank you. Mentor Note: approved - it is only a single book page, so no copyright issue.

Thank you very much.

Can someone please explain me the steps of calculation of X1:X2 after putting in the lower value of W^2 in equation 9.9 in "Riley, Hobson, Bence - Mathematical Methods for Physics and Engineering 2006 - pg 319"? I have attached the page as a PDF file. Thank you.

Thank you very much for your help. I will sure list the author of the book in any future post.

Can someone please show me the steps from circled equation 1 to 2? Thank you.