Equations and Special Functions

C200 RZEROX

Zero of a Function of One Real Variable

C201 RSNLEQ

Numerical Solution of Systems of Nonlinear Equations

C202 RMULLZ

Zeros of a Real Polynomial

C205 RZERO

Zero of a Function of One Real Variable

C207 RRTEQ3

Roots of a Cubic Equation

C208 RRTEQ4

Roots of a Quartic Equation

C209 CPOLYZ

Zeros of a Complex Polynomial

C210 NZERFZ

Number of Zeros of a Complex Function

C300 ERF

Error Function and Complementary Error Function

C301 FREQ

Normal Frequency Function

C302 GAMMA

Gamma Function for Positive Argument

C303 GAMMF

Gamma Function for Real Argument

C304 ALGAMA

Logarithm of the Gamma Function

C305 CGAMMA

Gamma Function for Complex Argument

C306 CLGAMA

Logarithm of the Gamma Function for Complex Argument

C307 CDIGAM

Complex Digamma or Psi Function

C309 CCLBES

Coulomb Wave, Bessel, and Spherical Bessel Functions for Complex Argument(s) and Order

C312 BESJ0

Bessel Functions J and Y of Orders Zero and One

C313 BESI0

Modified Bessel Functions I and K of Orders Zero and One

C315 RRIZET

Riemann Zeta Function

C316 RPSIPG

Psi (Digamma) and Polygamma Functions

C318 RELFUN

Jacobian Elliptic Functions sn, cn, dn

C320 CELFUN

Jacobian Elliptic Functions sn, cn, dn for Complex Argument

C321 CGPLG

Nielsen's Generalized Polylogarithm

C322 RFRSIN

Fresnel Integrals

C323 RFERDR

Fermi-Dirac Function

C324 RATANI

Arctangent Integral

C326 RCLAUS

Clausen Function

C327 BSIR4

Modified Bessel Functions I and K of Order 1/4, 1/2 and 3/4

C328 CWHITM

Whittaker Function M of Complex Argument and Complex Indices

C330 RASLGF

Legendre and Associated Legendre Functions

C331 RFCONC

Conical Functions of the First Kind

C332 RDILOG

Dilogarithm Function

C334 RGAPNC

Incomplete Gamma Functions

C335 CWERF

Complex Error Function

C336 RSININ

Sine and Cosine Integrals

C337 REXPIN

Exponential Integral

C338 CEXPIN

Complex Exponential Integral

C339 RDAWSN

Dawson's Integral

C340 BSIR3

Modified Bessel Functions I and K of Order 1/3 and 2/3

C341 BSKA

Modified Bessel Functions K of Certain Order

C342 RSTRH0

Struve Functions of Orders Zero and One

C343 BSJA

Bessel Functions J and I with Positive Argument and Non-Integer Order

C344 CBSJA

Bessel Functions J with Complex Argument and Non-Integer Order

C345 RBZEJY

Zeros of Bessel Functions J and Y

C346 RELI1

Elliptic Integrals of First, Second, and Third Kind

C347 RELI1C

Complete Elliptic Integrals of First, Second, and Third Kind

C348 CELINT

Elliptic Integral for Complex Argument

C349 RTHETA

Jacobian Theta Functions