ISSN:
0020-7608
Keywords:
auxiliary functions
;
few-body problems
;
basic integral
;
hypergeometric functions
;
Chemistry
;
Theoretical, Physical and Computational Chemistry
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
Notes:
The so-called few-body auxiliary functions play a very important role in bound-state calculations for nonrelativistic few-body systems. In particular, the functions of the first, second, and third orders are used in four-body calculations. By means of an original approach developed for the first time in the present study, we have found exact finite-series representations for the auxiliary functions An (n ≤ 3). It is shown that the auxiliary functions An are closely related to the Gaussian hypergeometric function 2F1. A few simple finite-series expansions are also presented, which seem to be very convenient for numerical computations. This work opens a new avenue in the study of auxiliary functions and their properties. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 269-278, 1997
Additional Material:
2 Tab.
Type of Medium:
Electronic Resource
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