A generalization of the Laguerre polynomials

DOI10.4134/CKMS.C200208zbMath1484.33013OpenAlexW3167663561MaRDI QIDQ5155168

Asad Ali Ali

Publication date: 6 October 2021

Full work available at URL: http://dspace.kci.go.kr/handle/kci/1785743

zbMATH Keywords

generating functionsdifferential equationRodrigues formulaLaguerre polynomialsrecurrence relationsorthogonalitygeneralized hypergeometric seriesgeneralized polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• Equioscillatory property of the Laguerre polynomials
• A weight function for the associated Jacobi-Laurent polynomials
• Representations of orthogonal polynomials
• Construction of partially degenerate Laguerre-Genocchi polynomials with their applications
• A new class of generalized Laguerre-Euler polynomials
• A new generalization of Apostol-type Laguerre-Genocchi polynomials
• Certain generating funtion of generalized Apostol type Legendre-based polynomials
• On some generalized Sister Celine's polynomials
• CERTAIN GENERATING FUNCTION OF HERMITE-BERNOULLI-LAGUERRE POLYNOMIALS
• NOTES ON FORMAL MANIPULATIONS OF DOUBLE SERIES
• A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials

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