On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems

2025/07/18 by Ismail, Mourad E. H., Saad, Nasser · 2 citations
#33C45 #33C47 #33C90 #34B24 #39A70 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2507.13583

Abstract

This work provides a detailed study of Meixner-Pollaczek polynomials and employs the central difference operator to study the Sturm-Liouville problem. It presents two linearly independent solutions to the recursion relation, along with the associated difference equations. Additionally, the establishment of second-kind functions is discussed.

Cited by

• A new expansion of the Riemann zeta function
• Some Difference Relations for Orthogonal Polynomials of a Continuous Variable in the Askey Scheme

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