On closed-form solutions of triple series equations involving Laguerre polynomials
Abstract
We consider some triple series equations involving generalized Laguerre polynomials. These equations are reduced to triple integral equations for Bessel functions. The closed-form solutions of the triple integral equations for Bessel functions are obtained and, finally, we get the closed-form solutions of triple series equations for Laguerre polynomials.
English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 2, pp 259-267.
Citation Example: Dhaliwal R.S., Rokne J., Singh B. M. On closed-form solutions of triple series equations involving Laguerre polynomials // Ukr. Mat. Zh. - 2010. - 62, № 2. - pp. 231 – 237.
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