2017
Том 69
№ 7

All Issues

On closed-form solutions of triple series equations involving Laguerre polynomials

Dhaliwal R.S., Rokne J., Singh B. M.

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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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