IMSLŪ MATH LIBRARY Special Functions
Introduction
The IMSL Fortran Numerical Libraries
Getting Started
Finding the Right Routine
Organization of the Documentation
Naming Conventions
Using Library Subprograms
Programming Conventions
Module Usage
Programming Tips
Optional Subprogram Arguments
Error Handling
Printing Results
Chapter 1: Elementary Functions
Routines
Usage Notes
CARG
CBRT
EXPRL
LOG10
ALNREL
Chapter 2: Trigonometric and Hyperbolic Functions
TAN
COT
SINDG
COSDG
ASIN
ACOS
ATAN
ATAN2
SINH
COSH
TANH
ASINH
ACOSH
ATANH
Chapter 3: Exponential Integrals and Related Functions
EI
E1
ENE
ALI
SI
CI
CIN
SHI
CHI
CINH
Chapter 4: Gamma Function and Related Functions
FAC
BINOM
GAMMA
GAMR
ALNGAM
ALGAMS
GAMI
GAMIC
GAMIT
PSI
PSI1
POCH
POCH1
BETA
ALBETA
BETAI
Chapter 5: Error Function and Related Functions
ERF
ERFC
ERFCE
CERFE
ERFI
ERFCI
DAWS
FRESC
FRESS
Chapter 6: Bessel Functions
BSJ0
BSJ1
BSY0
BSY1
BSI0
BSI1
BSK0
BSK1
BSI0E
BSI1E
BSK0E
BSK1E
BSJNS
BSINS
BSJS
BSYS
BSIS
BSIES
BSKS
BSKES
CBJS
CBYS
CBIS
CBKS
Chapter 7: Kelvin Functions
BER0
BEI0
AKER0
AKEI0
BERP0
BEIP0
AKERP0
AKEIP0
BER1
BEI1
AKER1
AKEI1
Chapter 8: Airy Functions
AI
BI
AID
BID
AIE
BIE
AIDE
BIDE
CAI
CBI
CAID
CBID
Chapter 9: Elliptic Integrals
ELK
ELE
ELRF
ELRD
ELRJ
ELRC
Chapter 10: Elliptic and Related Functions
CWPL
CWPLD
CWPQ
CWPQD
EJSN
EJCN
EJDN
Chapter 11: Probability Distribution Functions and Inverses
BINDF
BINPR
GEODF
GEOIN
GEOPR
HYPDF
HYPPR
POIDF
POIPR
UNDDF
UNDIN
UNDPR
AKS1DF
AKS2DF
ALNDF
ALNIN
ALNPR
ANORDF
ANORIN
ANORPR
BETDF
BETIN
BETPR
BETNDF
BETNIN
BETNPR
BNRDF
CHIDF
CHIIN
CHIPR
CSNDF
CSNIN
CSNPR
EXPDF
EXPIN
EXPPR
EXVDF
EXVIN
EXVPR
FDF
FIN
FPR
FNDF
FNIN
FNPR
GAMDF
GAMIN
GAMPR
RALDF
RALIN
RALPR
TDF
TIN
TPR
TNDF
TNIN
TNPR
UNDF
UNIN
UNPR
WBLDF
WBLIN
WBLPR
GCDF
GCIN
GFNIN
Chapter 12: Mathieu Functions
MATEE
MATCE
MATSE
Chapter 13: Miscellaneous Functions
SPENC
INITS
CSEVL
Reference Material
Routines/Topics
User Errors
ERSET
IERCD and N1RTY
Machine-Dependent Constants
IMACH
AMACH
DMACH
IFNAN(X)
UMACH
Reserved Names
Deprecated Features and Deleted Routines
Appendix A: GAMS Index
Description
IMSL MATH/LIBRARY Special Functions
Appendix B: Alphabetical Summary of Routines
IMSL MATH LIBRARY Special Functions
Appendix C: References
Product Support
Contacting IMSL Support