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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 4

A Class of Multivariable Polynomials Associated with Humbert Polynomials

Rabia Aktaş
Abdullah Altın
Sayfa
—
Yayın Tarihi
2013-04-01
DOI
—
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Furthermore, for somespecial cases of these polynomials, we present hypergeometric representations and give expansions of these polynomials in series of someorthogonal polynomials.

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Amaç & Hipotez:In this paper, we present a generalization (and unification) of a classof Humbert polynomials which include well known families of ChanChyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials.
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Temel Bulgular & Veri:We derive various families of multilateral and multilinear generating functions for these polynomials.
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Sonuç & Katkı:Furthermore, for somespecial cases of these polynomials, we present hypergeometric representations and give expansions of these polynomials in series of someorthogonal polynomials.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Humbert polynomials · Chan-Chyan-Srivastava multivariable polynomials · Lagrange-Hermite multivariable polynomials

Abstract

In this paper, we present a generalization (and unification) of a classof Humbert polynomials which include well known families of ChanChyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. We derive various families of multilateral and multilinear generating functions for these polynomials. We also obtain othermiscellaneous properties of these polynomials. Furthermore, for somespecial cases of these polynomials, we present hypergeometric representations and give expansions of these polynomials in series of someorthogonal polynomials.

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Bu Makaleye Atıf Yap

Aktaş, R., Altın, A. (2013). A Class of Multivariable Polynomials Associated with Humbert Polynomials. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 4. https://ajindex.com/articles/1403458

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Kaynakça (22)

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