### 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 _{2}F_{1}.

Original language | English |
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Pages (from-to) | 123-141 |

Number of pages | 19 |

Journal | Missouri Journal of Mathematical Sciences |

Volume | 23 |

Issue number | 2 |

Publication status | Published - 2011 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Missouri Journal of Mathematical Sciences*,

*23*(2), 123-141.

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

Research output: Contribution to journal › Article

*Missouri Journal of Mathematical Sciences*, vol. 23, no. 2, pp. 123-141.

}

TY - JOUR

T1 - On integrals and sums involving special functions

AU - Al-Salman, Ahmad

AU - Rhouma, Mohamed Ben Haj

AU - Al-Jarrah, A. A.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=83155167641&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=83155167641&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:83155167641

VL - 23

SP - 123

EP - 141

JO - Missouri Journal of Mathematical Sciences

JF - Missouri Journal of Mathematical Sciences

SN - 0899-6180

IS - 2

ER -