I need the following to line up so that the first line (integral) is on one line on the left at the top, then the following lines are indented and aligned to each other, but also so the 2 sets of conditions (lines starting \left[\alpha>0,...
and \left[\Real\mu...
) will align to be flush with the right of the page. How do I do this?
Thanks
\begin{document}
\begin{multline}
\int_0^\infty e^{-\alpha x}\, Y_\nu \left(\beta x\right)x^{\mu - 1}\,dx\\
= \cot v\pi\frac{\left(\frac{\beta}{2}\right)^{\nu}\Gamma\left(\nu+\mu\right)}{\sqrt{\left(\alpha^{2}+\beta^{2}\right)^{\nu+\mu}}\Gamma\left(\nu+1\right)}F\left(\frac{\nu+\mu}{2},\frac{\nu-\mu+1}{2};\nu+1;\frac{\beta^{2}}{\alpha^{2}+\beta^{2}}\right)\\
= \mathrm{cosec}\, \nu\pi\frac{\left(\frac{\beta}{2}\right)^{-\nu}\Gamma\left(\mu-v\right)}{\sqrt{\left(\alpha ^{2}+\beta^{2}\right)^{\mu-\nu}}\Gamma\left(1-\nu\right)}F\left(\frac{\mu-\nu}{2},\frac{1-\nu-\mu}{2};1-\nu;\frac{\beta^{2}}{\alpha^{2}+\beta^{2}}\right)\\
\left[\Real \mu \geq\lvert \Real \nu\rvert,\quad\Real\left(\alpha\pm \textit{i}\beta\right)>0\right]\\
=-\frac{2}{\pi}\Gamma\left(\nu+\mu\right)\left(\beta^{2}+\alpha^{2}\right)^{-\frac{1}{2}\mu} Q_{\mu-1}^{-\nu}\left[\alpha\left(\alpha^{2}+\beta^{2}\right)^ {-\frac{1}{2}}\right]\\
\left[\alpha>0,\quad\beta>0,\quad\Real\mu>\lvert\Real \nu\rvert\right]
\end{multline}
\end{document}
! Undefined control sequence. <argument> ...+\beta ^{2}}\right )\\ \left [\Real
It's far better if the example is complete, starting\documentclass
...\Real
macro is defined.