INVESTIGADORES
OTRANTO Sebastian
artículos
Título:
The hyperbolic hypergeometric functions
Autor/es:
G. GASANEO; F. D. COLAVECCHIA; S. OTRANTO; C. R. GARIBOTTI
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Lugar: New York; Año: 2001 vol. 42 p. 4971 - 4983
ISSN:
0022-2488
Resumen:
In this work we present a new function to represent the approximate
solution of a system of three charged particles. This function is based
on an extension to two variables of the confluent hypergeometric
function 1F1
of Kummer and can be obtained using a method similar to that used by
Appell and Kampé de Fériet. We analyze the general properties of the
function such as integral representations, series expansions, and
asymptotic limits. We also show that the proposed functions verify a
relation similar to that satisfied by the exponential and
trigonometric?hyperbolic ones. A generalization to n-dimension is
also presented. The mathematical properties of the functions indicate
that they are suitable to be included in computation of electronic
emission in collision processes.