Bessel summation formulae and operational methods
Copyright policy )Bessel summation formulae and operational methods
The authors fill a gap which has been left open in their previous work [On new families of summation formulae of ordinary and generalized Bessel functions, Int. Math. J. 4, 239--246 (2003)], dealing with operational methods applied to summation formulae of Bessel type functions. In particular, by this operational method the authors derive families of generating functions of ordinary and generalized Bessel functions.
Computational Mathematics, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, summation formulae, generalized Bessel functions, Other special orthogonal polynomials and functions, Bessel and Airy functions, cylinder functions, \({}_0F_1\), operational method
Computational Mathematics, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, summation formulae, generalized Bessel functions, Other special orthogonal polynomials and functions, Bessel and Airy functions, cylinder functions, \({}_0F_1\), operational method
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