Publication result detail

Using Feynman's technique to calculate an integral Maple could not cope with

HLAVIČKOVÁ, I.

Original Title

Using Feynman's technique to calculate an integral Maple could not cope with

English Title

Using Feynman's technique to calculate an integral Maple could not cope with

Type

Paper in proceedings outside WoS and Scopus

Original Abstract

In this paper, we present a computation of an integral for which the primitive function cannot be written with help of elementary functions. The aim is to calculate the definite integral from minus infinity to infinity. Powerful mathematical software, such as Maple, fails to determine the precise value of this integral, but using the so called Feynman’s technique which combines integration and differentiation leads to success.

English abstract

In this paper, we present a computation of an integral for which the primitive function cannot be written with help of elementary functions. The aim is to calculate the definite integral from minus infinity to infinity. Powerful mathematical software, such as Maple, fails to determine the precise value of this integral, but using the so called Feynman’s technique which combines integration and differentiation leads to success.

Keywords

integral, error function, Maple

Key words in English

integral, error function, Maple

Authors

HLAVIČKOVÁ, I.

Released

18.12.2024

Publisher

Univerzita obrany

Location

Brno

ISBN

978-80-7582-543-8

Book

Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers

Pages from

38

Pages to

46

Pages count

9

URL

http://mitav.unob.cz

BibTex

@inproceedings{BUT197054,
  author="Irena {Hlavičková}",
  title="Using Feynman's technique to calculate an integral Maple could not cope with",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers",
  year="2024",
  pages="38--46",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7582-543-8",
  url="http://mitav.unob.cz"
}