On integrals and sums involving special functions

Ahmad Al-Salman, Mohamed Ben Haj Rhouma, A. A. Al-Jarrah

Research output: Contribution to journalArticle

Abstract

Integrals and sums involving special functions are in constant demand in applied mathematics. Rather than refer to a handbook of integrals or to a computer algebra system, we present a do-it-yourself systematic approach that shows how the evaluation of such integrals and sums can be made as simple as possible. Illustrating our method, we present several examples of integrals of Poisson type, Fourier transform, as well as integrals involving product of Bessel functions. We also obtain a new identity involving the sums of 2F1.

Original languageEnglish
Pages (from-to)123-141
Number of pages19
JournalMissouri Journal of Mathematical Sciences
Volume23
Issue number2
Publication statusPublished - 2011

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Special Functions
Fourier Integral
Computer algebra system
Bessel Functions
Applied mathematics
Fourier transform
Siméon Denis Poisson
Evaluation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On integrals and sums involving special functions. / Al-Salman, Ahmad; Rhouma, Mohamed Ben Haj; Al-Jarrah, A. A.

In: Missouri Journal of Mathematical Sciences, Vol. 23, No. 2, 2011, p. 123-141.

Research output: Contribution to journalArticle

Al-Salman, A, Rhouma, MBH & Al-Jarrah, AA 2011, 'On integrals and sums involving special functions', Missouri Journal of Mathematical Sciences, vol. 23, no. 2, pp. 123-141.
Al-Salman, Ahmad ; Rhouma, Mohamed Ben Haj ; Al-Jarrah, A. A. / On integrals and sums involving special functions. In: Missouri Journal of Mathematical Sciences. 2011 ; Vol. 23, No. 2. pp. 123-141.
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