Content-Length: 37291 | pFad | https://dlmf.nist.gov/./../././bib/.././.././././19.3.F5.mag

DLMF: Figure 19.3.5 ‣ §19.3 Graphics ‣ Legendre’s Integrals ‣ Chapter 19 Elliptic Integrals
About the Project
19 Elliptic IntegralsLegendre’s Integrals19.3 Graphics
Figure 19.3.5 (See in context.) 3D Help
See accompanying text
Figure 19.3.5: Π⁡(α2,k) as a function of k2 and α2 for −2≤k2<1, −2≤α2≤2. Cauchy principal values are shown when α2>1. The function is unbounded as α2→1−, and also (with the same sign as 1−α2) as k2→1−. As α2→1+ it has the limit K⁡(k)−(E⁡(k)/k′2). If α2=0, then it reduces to K⁡(k). If k2=0, then it has the value 12⁢π/1−α2 when α2<1, and 0 when α2>1. See §19.6(i). 3D Help
© 2010–2024 NIST / Disclaimer / Feedback; Version 1.2.3; Release date 2024-12-15.
Site Privacy Accessibility Privacy Program Copyrights Vulnerability Disclosure No Fear Act Policy FOIA Environmental Policy Scientific Integrity Information Quality Standards Commerce.gov Science.gov USA.gov








ApplySandwichStrip

pFad - (p)hone/(F)rame/(a)nonymizer/(d)eclutterfier!      Saves Data!


--- a PPN by Garber Painting Akron. With Image Size Reduction included!

Fetched URL: https://dlmf.nist.gov/./../././bib/.././.././././19.3.F5.mag

Alternative Proxies:

Alternative Proxy

pFad Proxy

pFad v3 Proxy

pFad v4 Proxy