Combinatorial proofs of Ismail’s identities on Al-Salam–Chirara polynomials

Abstract We present new proofs of two identities arising in work of Mourad Ismail using partition theoretic generating function interpretations.

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Publication Details

Journal
Arabian Journal of Mathematics
Published
2026-01-08
DOI
https://doi.org/10.1007/s40065-025-00607-y
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00

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article

Combinatorial proofs of Ismail’s identities on Al-Salam–Chirara polynomials

Ali Kemal Uncu
Arabian Journal of Mathematics
Advanced Mathematical Identities
article

Combinatorial proofs of Ismail’s identities on Al-Salam–Chirara polynomials

Ali Kemal Uncu
article en

Abstract

Abstract We present new proofs of two identities arising in work of Mourad Ismail using partition theoretic generating function interpretations.

Arabian Journal of Mathematics
University of Bath (GB)
UK Research and Innovation, Austrian Science Fund, Engineering and Physical Sciences Research Council
Reduced inequalities
Openalex Percentile: Top 92%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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Combinatorial proofs of Ismail’s identities on Al-Salam–Chirara polynomials — Ali Kemal Uncu · Arabian Journal of Mathematics (2026) | TGRS Research Map | TGRS