Integrals involving Bessel matrix functions and Jacobi matrix polynomials

Maged G Bin-Saad, Nabel Salah


In the present paper, we establish some interesting integrals involving the product of Bessel matrix functions of the first kind with Jacobi matrix polynomials, which are expressed in terms of the matrix version Kampe' de Fe'riet and Srivastava and Daoust functions. Some other integrals involving the product of the matrix version of Bessel matrix functions with Ultraspherical matrix polynomials, Gegenbauer matrix polynomials and Legendre matrix polynomials are also established as special cases of our main results.

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