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Integral Transforms and Special Functions Volume 26, 2015 - Issue 5
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Original Articles

Cubic decomposition of a family of semiclassical polynomial sequences of class one

M. Ihsen TounsiInstitut Supérieur des Sciences Appliquées et de Technologie, Université de Gabès, Rue Omar Ibn El Khattab, 6072Gabès, TunisiaCorrespondence[email protected]
&
Issameddine BouguerraInstitut Supérieur des Sciences Appliquées et de Technologie, Université de Gabès, Rue Omar Ibn El Khattab, 6072Gabès, Tunisia
Pages 377-394 | Received 12 May 2014, Accepted 21 Jan 2015, Published online: 13 Feb 2015

Citations (10)

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Read on this site (7)

L. Khériji & K. Omrani. (2023) Characterization of the D-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition. Integral Transforms and Special Functions 34:8, pages 570-588.
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Francisco Marcellán & Mohamed Khalfallah. (2023) On the characterizations of third-degree semiclassical forms via polynomial mappings. Integral Transforms and Special Functions 34:1, pages 65-87.
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M. Ihsen Tounsi & Karima Ghrairi. (2023) Other family of cubic decomposition of a semiclassical form of class one. Integral Transforms and Special Functions 34:1, pages 1-25.
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M. Ihsen Tounsi & Sondes Msaddek. (2021) Third-order self-associated orthogonal polynomial sequences. Journal of Difference Equations and Applications 27:9, pages 1395-1418.
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I. Ben Salah & M. Khalfallah. (2020) Third-degree semiclassical forms of class one arising from cubic decomposition. Integral Transforms and Special Functions 31:9, pages 720-743.
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M. Ihsen Tounsi & Amel Saka. (2018) Cubic decomposition of a family of semiclassical orthogonal polynomials of class two. Integral Transforms and Special Functions 29:2, pages 113-130.
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M. Ihsen Tounsi & Zouhaier Raddaoui. (2016) On the cubic decomposition of a family of G-semiclassical polynomial sequences of class one. Journal of Difference Equations and Applications 22:3, pages 391-410.
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Articles from other publishers (3)

Mohamed Khalfallah. (2022) A Description of Second Degree Semiclassical Forms of Class Two Arising Via Cubic Decomposition. Mediterranean Journal of Mathematics 19:1.
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K. Castillo, M. N. de Jesus, F. Marcellán & J. Petronilho. (2020) $$H_q$$-Semiclassical orthogonal polynomials via polynomial mappings. The Ramanujan Journal 54:1, pages 113-136.
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K. Castillo, M.N. de Jesus & J. Petronilho. (2017) On semiclassical orthogonal polynomials via polynomial mappings. Journal of Mathematical Analysis and Applications 455:2, pages 1801-1821.
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