naginterfaces.library.specfun.bessel_​j_​seq_​complex

naginterfaces.library.specfun.bessel_j_seq_complex(z, a, nl)[source]

bessel_j_seq_complex returns a sequence of values for the Bessel functions or for complex , non-negative and .

For full information please refer to the NAG Library document for s18gk

https://www.nag.com/numeric/nl/nagdoc_28.5/flhtml/s/s18gkf.html

Parameters
zcomplex

The argument of the function.

afloat

The order of the first member in the required sequence of function values.

nlint

The value of .

Returns
bcomplex, ndarray, shape

With the function exits successfully or = 3, the required sequence of function values: contains if and otherwise, for .

Raises
NagValueError
(errno )

On entry, .

Constraint: .

(errno )

On entry, .

Constraint: .

(errno )

On entry, .

Constraint: .

(errno )

On entry, .

Constraint: when , .

(errno )

Computation abandoned due to the likelihood of overflow.

(errno )

Computation abandoned due to total loss of precision.

(errno )

Computation abandoned due to failure to satisfy the termination condition.

Warns
NagAlgorithmicWarning
(errno )

Computation completed but some precision has been lost.

Notes

bessel_j_seq_complex evaluates a sequence of values for the Bessel function of the first kind , where is complex and nonzero and is the order with . The -member sequence is generated for orders when . Note that is replaced by when . For positive orders the function may also be called with , since when . For negative orders the formula

is used to generate the required sequence. The appropriate values of and are obtained by calls to bessel_j_complex() and bessel_y_complex().

References

NIST Digital Library of Mathematical Functions