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.
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U2 - 10.35834/mjms/1321045141
DO - 10.35834/mjms/1321045141
M3 - Article
AN - SCOPUS:83155167641
SN - 0899-6180
VL - 23
SP - 123
EP - 141
JO - Missouri Journal of Mathematical Sciences
JF - Missouri Journal of Mathematical Sciences
IS - 2
ER -