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Extensions and results from a method for evaluating fractional integrals

Technical Report:

Abstract

A method has been derived from Laplace transform that enables the evaluation of Weyl fractional integrals by transforming them into known integrals. This method is adapted and extended in a variety of ways to demonstrate the utility of the method in deriving alternative representations for other classes of integrals. The authors utilised the Feynman integral of quantum electrodynamics and found that they could develop more sophisticated results from this integral, which are given in Appendix C. A list of various fractional integrals evaluated by this technique is presented in Appendix A. 15 refs.
Authors:
Kowalenko, V; [1]  Glasser, M L [2] 
  1. Melbourne Univ., Parkville, VIC (Australia). School of Physics
  2. Clarkson Univ., Potsdam, NY (United States)
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-94/76
Reference Number:
SCA: 661300; PA: AIX-26:017839; EDB-95:032020; SN: 95001329994
Resource Relation:
Other Information: PBD: [1994]
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INTEGRAL EQUATIONS; EVALUATION; ANALYTICAL SOLUTION; BESSEL FUNCTIONS; FEYNMAN PATH INTEGRAL; LAPLACE TRANSFORMATION; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10113707
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616272; TRN: AU9414249017839
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
50 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kowalenko, V, and Glasser, M L. Extensions and results from a method for evaluating fractional integrals. Australia: N. p., 1994. Web.
Kowalenko, V, & Glasser, M L. Extensions and results from a method for evaluating fractional integrals. Australia.
Kowalenko, V, and Glasser, M L. 1994. "Extensions and results from a method for evaluating fractional integrals." Australia.
@misc{etde_10113707,
title = {Extensions and results from a method for evaluating fractional integrals}
author = {Kowalenko, V, and Glasser, M L}
abstractNote = {A method has been derived from Laplace transform that enables the evaluation of Weyl fractional integrals by transforming them into known integrals. This method is adapted and extended in a variety of ways to demonstrate the utility of the method in deriving alternative representations for other classes of integrals. The authors utilised the Feynman integral of quantum electrodynamics and found that they could develop more sophisticated results from this integral, which are given in Appendix C. A list of various fractional integrals evaluated by this technique is presented in Appendix A. 15 refs.}
place = {Australia}
year = {1994}
month = {Dec}
}