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- W3198618837 abstract "In this chapter, an extension of the ordinary version of q-Lagrange's inversion pair, due to Gessel and Stanton, is proposed. Motivated by this extended inverse series relation, a general class of polynomial (GCP) is constructed. This GCP M r ( s , A , β ; x ) , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003159124/e1d2a0d4-930e-4fad-943e-3e979ee769bf/content/math6_1.tif/> not only includes but also extends the polynomials such as Racah, Wilson, Hahn, Jacobi, Legendre, Bessel and Laguerre. The hypergeometric function form is used to further investigate its properties, namely, inverse series relations, integral transforms, θ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003159124/e1d2a0d4-930e-4fad-943e-3e979ee769bf/content/math6_2.tif/> -form differential equations and companion matrix. In addition to inverses of extended polynomials, the general polynomial also inverts some known combinatorial identities. Some new inverses are also obtained as special cases of it." @default.
- W3198618837 created "2021-09-13" @default.
- W3198618837 creator A5067053633 @default.
- W3198618837 date "2021-09-01" @default.
- W3198618837 modified "2023-09-26" @default.
- W3198618837 title "A General Class of Polynomials Inspired by a General Lagrange Inversion Pair Due to Gessel and Stanton" @default.
- W3198618837 doi "https://doi.org/10.1201/9781003159124-6" @default.
- W3198618837 hasPublicationYear "2021" @default.
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