查看“︁广义艾里函数”︁的源代码

[[File:AiryA.png|thumb|广义艾里函数 A(n,z) ]]

[[File:Airyb.png|thumb|广义艾里函数  B(n,z)]]
'''广义艾里函数'''(Generalized Airy Functions)是艾里函数的推广<ref name=NIST>NIST HANNDBOOK p206-208</ref>.

广义艾里函数是广义艾里方程的解
<math>w_zz=z^nw</math>

n=1,2,3...

<math>A_n(z)=(2p/\pi)sin(\rho*\pi)*z^{1/2}*K_p(\xi)</math>

其中<math>K_p(\xi)</math>是[[贝塞尔函数]]K

<math>B_n(z)=(pz)^{1/2}(I_-p(\xi)+I_p(\xi)</math>

其中<math>I_p(\xi)</math>是[[贝塞尔函数]]I

==参考文献==
{{reflist}}
*{{citation|publisher=Cambridge University Press|year=2010|title=NIST Handbook of Mathematical Functions|editor-first=Frank W. J.|editor-last=Olver|editor2-first=Daniel W.|editor2-last=Lozier|editor3-first=Ronald F.|editor3-last=Boisvert|editor4-first=Charles W.|editor4-last=Clark|displayeditors=4|isbn=978-0-521-19225-5|url=http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521140638|mr=2723248|accessdate=2015-01-24|archive-date=2013-07-03|archive-url=https://archive.today/20130703230148/http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521140638|dead-url=no}}

[[Category:特殊超几何函数]]