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.
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Deceased. (R. S. Dhaliwal)
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 2, pp. 231 – 237, February, 2010.
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Singh, B.M., Rokne, J. & Dhaliwal, R.S. On closed-form solutions of triple series equations involving Laguerre polynomials. Ukr Math J 62, 259–267 (2010). https://doi.org/10.1007/s11253-010-0349-z
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DOI: https://doi.org/10.1007/s11253-010-0349-z