bundles / scipy 2.0.0.dev0+git20260907.41eeb59 / scipy / special / _basic / lmbda

function

`scipy.special._basic:lmbda`

source: build-install/usr/lib/python3.14/site-packages/scipy/special/_basic.py:2401

Signature

def lmbda(v, x)

Summary

Jahnke-Emden Lambda function, Lambdav(x).

Extended Summary

This function is defined as ^[2],

Λ_{v} (x) = Γ (v + 1) \frac{J _{v} ( x )}{( x /2 ) ^{v}},

where $Γ$ is the gamma function and $J_{v}$ is the Bessel function of the first kind.

Parameters

v : float: Order of the Lambda function
x : float: Value at which to evaluate the function and derivatives

Returns

vl : ndarray: Values of Lambda_vi(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.
dl : ndarray: Derivatives Lambda_vi'(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.

Aliases

scipy.special.lmbda