Abstract
In this paper, we consider the general class of bivariate Laguerre polynomials introduced in Ozarslan and Kürt (On a double integral equation including a set of two variables polynomials suggested by Laguerre polynomials. In: Proceedings of international conference on recent advances in pure and applied mathematics (ICRAPAM 2014), 2014). We first obtain linear and mixed multilateral generating functions for the above-mentioned classes. We further derive a finite summation formula for our polynomials. Finally, by using the fractional derivative operator, we give a series relation between the bivariate Laguerre polynomials and a product of confluent hypergeometric functions.
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Özarslan, M.A., Kürt, C. (2016). Some Results on the Bivariate Laguerre Polynomials. In: Anastassiou, G., Duman, O. (eds) Computational Analysis. Springer Proceedings in Mathematics & Statistics, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-319-28443-9_9
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DOI: https://doi.org/10.1007/978-3-319-28443-9_9
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