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Analytic Number Theory, Approximation Theory, and Special Functions pp 705–720Cite as

On Especial Cases of Boas-Buck-Type Polynomial Sequences

Abstract

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.

Keywords

  • Hypergeometric Function
  • Modify Bessel Function
  • Differential Relation
  • Generalize Hypergeometric Function
  • Polynomial Sequence

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Acknowledgements

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.

Author information

Authors and Affiliations

  1. School of Mathematics, Statistics & Actuarial Science (SMSAS), University of Kent, Cornwallis Building, Canterbury, Kent, CT2 7NF, UK

    Ana F. Loureiro

  2. Department of Mathematics, Faculty Sciences of University of Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    S. Yakubovich

Authors
  1. Ana F. Loureiro
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  2. S. Yakubovich
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Corresponding author

Correspondence to Ana F. Loureiro .

Editor information

Editors and Affiliations

  1. Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia

    Gradimir V. Milovanović

  2. Department of Mathematics, ETH Zürich, Zürich, Switzerland

    Michael Th. Rassias

Additional information

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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