Задачі зв’язності для узагальнених гіпергеометричних многочленів Аппеля

DOI10.15673/TMGC.V13I2.1733OpenAlexW3049470005MaRDI QIDQ5115657

Nataliia Luno

Publication date: 17 August 2020

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15673/tmgc.v13i2.1733

zbMATH Keywords

differential equationgroup representationAppell polynomialsformal power seriesrecurrence equationconnection problems

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Cites Work

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• Some identities on Laguerre polynomials in connection with Bernoulli and Euler numbers
• Operational formulas connected with two generalizations of Hermite polynomials
• An Appell cross-sequence suggested by Hermite polynomials
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• Connection problems via lowering operators
• Representations for the first associated \(q\)-classical orthogonal polynomials
• The coefficients of the reciprocal of \(J_0(x)\)
• Semi-invariants of binary forms and identities for Bernoulli, Euler and Hermite polynomials
• Some properties of generalized hypergeometric Appell polynomials

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