DLMF: Figure 15.3.5 ‣ §15.3 Graphics ‣ Properties ‣ Chapter 15 Hypergeometric Function

About the Project

15 Hypergeometric Function Properties 15.3 Graphics 15.3 Graphics 15.4 Special Cases

Figure 15.3.5 (See in context.)

Figure 15.3.5:

F\left(\tfrac{4}{3},\tfrac{9}{16};\tfrac{14}{5};x+\mathrm{i}y\right),0\leq x% \leq 2,-0.5\leq y\leq 0.5

. (There is a cut along the real axis from

1

to

\infty

.)

ⓘ

Annotations:

Symbols:: $F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$ or $F\left({\NVar{a},\NVar{b}\atop\NVar{c}};\NVar{z}\right)$ : $={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$ Gauss’ hypergeometric function, $\mathrm{i}$ : imaginary unit, $x$ : real variable and $y$ : real variable
Permalink:: http://dlmf.nist.gov/15.3.F5.viz

15.3 Graphics 15.4 Special Cases

© 2010–2024 NIST / Disclaimer / Feedback; Version 1.2.0; Release date 2024-03-15.

NIST

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