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The evaluation of specific types of integrals involving confluent hypergeometric functions

Abstract

Closed analytic expressions are presented for a specific class of integrals arising in pion (or kaon) scattering from nuclei. These provide a computationally convenient description of such scattering whenever modified plane wave approximations for the continuum wave functions are valid. Similar results are derived for two other classes of related integrals. Finite series representations for various special functions are also presented. 7 refs.
Authors:
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-94/41
Reference Number:
SCA: 663460; 663110; PA: AIX-26:018343; EDB-95:032666; SN: 95001330167
Resource Relation:
Other Information: PBD: [1994]
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; KAON-NUCLEON INTERACTIONS; HYPERGEOMETRIC FUNCTIONS; PION-NUCLEON INTERACTIONS; ANALYTICAL SOLUTION; BESSEL FUNCTIONS; COLLISION INTEGRALS; EIKONAL APPROXIMATION; ELASTIC SCATTERING; INELASTIC SCATTERING; WAVE FUNCTIONS; 663460; 663110; MESON- AND HYPERON-INDUCED REACTIONS AND SCATTERING; GENERAL AND AVERAGE PROPERTIES OF NUCLEI AND NUCLEAR ENERGY LEVELS
OSTI ID:
10113815
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616435; TRN: AU9414233018343
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Di Marzio, F. The evaluation of specific types of integrals involving confluent hypergeometric functions. Australia: N. p., 1994. Web.
Di Marzio, F. The evaluation of specific types of integrals involving confluent hypergeometric functions. Australia.
Di Marzio, F. 1994. "The evaluation of specific types of integrals involving confluent hypergeometric functions." Australia.
@misc{etde_10113815,
title = {The evaluation of specific types of integrals involving confluent hypergeometric functions}
author = {Di Marzio, F}
abstractNote = {Closed analytic expressions are presented for a specific class of integrals arising in pion (or kaon) scattering from nuclei. These provide a computationally convenient description of such scattering whenever modified plane wave approximations for the continuum wave functions are valid. Similar results are derived for two other classes of related integrals. Finite series representations for various special functions are also presented. 7 refs.}
place = {Australia}
year = {1994}
month = {Dec}
}