After a slight modification, the Kontorovich-Lebedev transform is an automorphism in the vector space of polynomials. The action of this transformation over special cases of Boas-Buck-type polynomial sequences is under analysis.
- Hypergeometric Function
- Modify Bessel Function
- Differential Relation
- Generalize Hypergeometric Function
- Polynomial Sequence
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Work of AFL was supported by Fundação para a Ciência e a Tecnologia via the grant SFRH/BPD/63114/2009. Research was partially funded by the European Regional Development Fund through the programme COMPETE and by the Portuguese Government through the FCT (Fundação para a Ciência e a Tecnologia) under the project PEst-C/MAT/UI0144/2011.
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Dedicated to Professor Hari M. Srivastava
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Loureiro, A.F., Yakubovich, S. (2014). On Especial Cases of Boas-Buck-Type Polynomial Sequences. In: Milovanović, G., Rassias, M. (eds) Analytic Number Theory, Approximation Theory, and Special Functions. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0258-3_26
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