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Method and Means for Hypergeometric Function Calculation on an Array Processor

IP.com Disclosure Number: IPCOM000054707D
Original Publication Date: 1980-Mar-01
Included in the Prior Art Database: 2005-Feb-13

Publishing Venue

IBM

Related People

Authors:
Grant, PM [+details]

Abstract

This article describes a method for efficient calculation in the hardware of an array processor, of those hypergeometric functions which are defined by successive differentiation of a seed function. Examples are the Legendre functions, defined by: P(lm)(z) = (1-z/2/) /m/2/ d/m/P(l)(z) over dz/m/. where P (z) is the l-th Legendre polynomial; the associated Laguerre functions, defined by: L/s/(r)(Rho) = d/s/ over d Rho/s/ L(r)(Rho). where L (P) is the 4-th Laguerre polynomial; and the spherical Bessel functions, defined by: j(n) (z) = z/n/ (-1 over z d over dz) /n/ sin z over z.