## Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

## If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

# Further Extensions of a Legendre Function Integral

Henry E. Fettis
Mathematics of Computation
Vol. 45, No. 172 (Oct., 1985), pp. 549-552
DOI: 10.2307/2008144
Stable URL: http://www.jstor.org/stable/2008144
Page Count: 4
The integral $$\int^1_z \bigg(\frac{1 - t}{2}\bigg)^{\beta - 1}\bigg(\frac{1 - t}{1 + t}\bigg)^{\mu/2} \ln\bigg(\frac{1 - t}{2}\bigg)P{}_{\nu - 1}^\mu(t) dt$$ is evaluated as a hypergeometric function for arbitrary values of "$\nu$", "$\mu$", $-1 \leqslant z \leqslant 1$, and $\mathrm{Re}(\beta) > 0$.