Special Functions
 
This section contains the following topics:
Error and Gamma Functions
*Error Functions
*ERF Function—Error function.
*ERFCE Function—Evaluates the exponentially scaled complementary error function.
*ERFE Function—Evaluates a scaled function related to ERFC(z).
*ERFC Function—Complementary error function.
*BETA Function—Beta function.
*LNBETA Function—Logarithmic beta function.
*BETAI Function—Incomplete beta function.
*Gamma Functions
*GAMMA Function—Gamma function.
*LNGAMMA Function—Logarithmic gamma function.
*GAMMAI Function—Incomplete gamma function.
*Bessel Functions with Real Order and Complex Argument
*BESSI Function—Modified Bessel function of the first kind.
*BESSJ Function—Bessel function of the first kind.
*BESSK Function—Modified Bessel function of the second kind.
*BESSY Function—Bessel function of the second kind.
*BESSI_EXP Function—Bessel function e-|x|I0(x), Bessel function     e-|x|I1(x).
*BESSK_EXP Function—Bessel function exK0(x), Bessel function exK1(x).
Elliptic Integrals
*ELK Function—Complete elliptic integral of the first kind.
*ELE Function—Complete elliptic integral of the second kind.
*ELRF Function—Carlson's elliptic integral of the first kind.
*ELRD Function—Carlson's elliptic integral of the second kind.
*ELRJ Function—Carlson's elliptic integral of the third kind.
*ELRC Function—Special case of Carlson's elliptic integral.
Fresnel Integrals
*FRESNEL_COSINE Function—Cosine Fresnel integral.
*FRESNEL_SINE Function—Sine Fresnel integral.
Airy Functions
*AIRY_AI Function—Airy function, and derivative of the Airy function.
*AIRY_BI Function—Airy function of the second find, and derivative of the Airy function of the second kind.
Hermite Functions:
*HERMITE Function—Evaluates Hermite polynomials.
Kelvin Functions
*KELVIN_BER0 Function—Kelvin function ber of the first kind, order 0, and derivative of the Kelvin function ber.
*KELVIN_BEI0 Function—Kelvin function bei of the first kind, order 0, and derivative of the Kelvin function bei.
*KELVIN_KER0 Function—Kelvin function ker of the second kind, order 0, and derivative of the Kelvin function ker.
*KELVIN_KEI0 Function—Kelvin function kei of the second kind, order 0 and derivative of the Kelvin function kei.
Legendre Functions
*LEGENDRE Function—Evaluates the associated Legendre functions.
Basic Financial Functions
*CUM_INTR Function—Evaluates cumulative interest.
*CUM_PRINC Function—Evaluates cumulative principal.
*DEPRECIATION_DB Function—Evaluates depreciation using the fixed-declining method.
*DEPRECIATION_DDB Function—Evaluates depreciation using the double-declining method.
*DEPRECIATION_SLN Function—Evaluates depreciation using the straight-line method.
*DEPRECIATION_SYD Function—Evaluates depreciation using the sum-of-years digits method.
*DEPRECIATION_VDB Function—Evaluates depreciation using the variable declining method.
*DOLLAR_DECIMAL Function—Evaluates and converts fractional price to decimal price.
*DOLLAR_FRACTION Function—Evaluates and converts decimal price to fractional price.
*EFFECTIVE_RATE Function—Evaluates effective rate.
*FUTURE_VALUE Function—Evaluates future value.
*FUTURE_VAL_SCHD Function—Evaluates future value; considering a schedule of compound interest rates.
*INT_PAYMENT Function—Evaluates interest payment.
*INT_RATE_ANNUITY Function—Evaluates interest rate.
*INT_RATE_RETURN Function—Evaluates internal rate of return.
*INT_RATE_SCHD Function—Evaluates internal rate of return for a schedule of cash flows.
*MOD_INTERN_RATE Function—Evaluates modified internal rate.
*NET_PRES_VALUE Function—Evaluates net present value.
*NOMINAL_RATE Function—Evaluates nominal rate.
*NUM_PERIODS Function—Evaluates number of periods.
*PAYMENT Function—Evaluates periodic payment.
*PRESENT_VALUE Function—Evaluates present value.
*PRES_VAL_SCHD Function—Evaluates present value for a schedule of cash flows.
*PRINC_PAYMENT Function—Evaluates the payment for a principal.
Bond Functions
*ACCR_INT_MAT Function—Evaluates accrued interest at maturity.
*ACCR_INT_PER Function—Evaluates accrued interest periodically.
*BOND_EQV_YIELD Function—Evaluates bond-equivalent yield.
*CONVEXITY Function—Evaluates convexity.
*COUPON_DAYS Function—Evaluates days in a coupon period.
*COUPON_NUM Function—Evaluates number of coupons.
*SETTLEMENT_DB Function—Evaluates days before settlement.
*COUPON_DNC Function—Evaluates days to next coupon date.
*DEPREC_AMORDEGRC Function—Evaluates depreciation per accounting period .
*DEPREC_AMORLINC Function—Evaluates depreciation.
*DISCOUNT_PR Function—Evaluates discount price.
*DISCOUNT_RT Function—Evaluates discount rate.
*DISCOUNT_YLD Function—Evaluates yield for a discounted security.
*DURATION Function—Evaluates duration.
*INT_RATE_SEC Function—Evaluates the interest rate of a security.
*DURATION_MAC Function—Evaluates Macauley duration.
*COUPON_NCD Function—Evaluates next coupon date.
*COUPON_PCD Function—Evaluates previous coupon date.
*PRICE_PERIODIC Function—Evaluates price per $100 face value periodically.
*PRICE_MATURITY Function—Evaluates price per $100 face value at maturity.
*MATURITY_REC Function—Evaluates amount received at maturity.
*TBILL_PRICE Function—Evaluates Treasury bill's price.
*TBILL_YIELD Function—Evaluates Treasury bill's yield.
*YEAR_FRACTION Function—Evaluates year fraction.
*YIELD_MATURITY Function—Evaluates yield at maturity.
*YIELD_PERIODIC Function—Evaluates yield periodically.