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arXiv · 2103.08367

Closed-form expressions, generating function and Mehler-Heine type formula for the associated Meixner polynomials and some applications

Khalid Ahbli
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Abstract

We give a closed-form expression for the associated Meixner polynomials from which we derive closed-form expressions for the associated Charlier and Laguerre polynomials by a limit procedure. These formulas are then used to derive generating functions of these polynomials. Also, we investigate the Mehler-Heine type asymptotic formulas for the associated Meixner and Charlier polynomials. Some applications and consequences of our results are also mentioned.

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Khalid Ahbli. 2021-03-15. Closed-form expressions, generating function and Mehler-Heine type formula for the associated Meixner polynomials and some applications. https://arxiv.org/abs/2103.08367

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