# Bessel Functions

## BESSEL FUNCTIONS OF ORDERS 0 AND 1

ROUTINE DESCRIPTION
BSJ0 Evaluates the Bessel function of the first kind of order zero.
BSJ1 Evaluates the Bessel function of the first kind of order one.
BSY0 Evaluates the Bessel function of the second kind of order zero.
BSY1 Evaluates the Bessel function of the second kind of order one.
BSI0 Evaluates the modified Bessel function of the first kind of order zero.
BSI1 Evaluates the modified Bessel function of the first kind of order one.
BSK0 Evaluates the modified Bessel function of the second kind of order zero.
BSK1 Evaluates the modified Bessel function of the second kind of order one.
BSI0E Evaluates the exponentially scaled modified Bessel function of the first kind of order zero.
BSI1E Evaluates the exponentially scaled modified Bessel function of the first kind of order one.
BSK0E Evaluates the exponentially scaled modified Bessel function of the second kind of order zero.
BSK1E Evaluates the exponentially scaled modified Bessel function of the second kind of order one.

## SERIES OF BESSEL FUNCTIONS, INTEGER ORDER

ROUTINE DESCRIPTION
BSJNS Evaluates a sequence of Bessel functions of the first kind with integer order and real or complex arguments.
BSINS Evaluates a sequence of modified Bessel functions of the first kind with integer order and real or complex arguments.

## SERIES OF BESSEL FUNCTIONS, REAL ORDER AND ARGUMENT

ROUTINE DESCRIPTION
BSJS Evaluates a sequence of Bessel functions of the first kind with real order and real positive arguments.
BSYS Evaluates a sequence of Bessel functions of the second kind with real nonnegative order and real positive arguments.
BSIS Evaluates a sequence of modified Bessel functions of the first kind with real order and real positive arguments.
BSIES Evaluates a sequence of exponentially scaled modified Bessel functions of the first kind with nonnegative real order and real positive arguments.
BSKS Evaluates a sequence of modified Bessel functions of the second kind of fractional order.
BSKES Evaluates a sequence of exponentially scaled modified Bessel functions of the second kind of fractional order.

## SERIES OF BESSEL FUNCTIONS, REAL ARGUMENT AND COMPLEX ARGUMENT

ROUTINE DESCRIPTION
CBJS Evaluates a sequence of Bessel functions of the first kind with real order and complex arguments.
CBYS Evaluates a sequence of Bessel functions of the second kind with real order and complex arguments.
CBIS Evaluates a sequence of modified Bessel functions of the first kind with real order and complex arguments.
CBKS Evaluates a sequence of modified Bessel functions of the second kind with real order and complex arguments.