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On the decomposability of linear combinations of Bernoulli polynomials

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Abstract

In the present paper we describe the complete decomposition (over \(\mathbb {C}\)) of linear combinations of the form

$$\begin{aligned} R_n(x)=B_n(x)+cB_{n-2}(x) \end{aligned}$$

of Bernoulli polynomials, where c is an arbitrary rational number.

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References

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Acknowledgments

The authors are grateful to the referee for her/his helpful remarks.

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Authors and Affiliations

  1. Institute of Mathematics, MTA-DE Research Group “Equations, Functions and Curves”, Hungarian Academy of Sciences and University of Debrecen, P. O. Box 12, 4010, Debrecen, Hungary

    Ákos Pintér

  2. Institute of Mathematics, University of Miskolc, 3515, Miskolc Campus, Hungary

    Csaba Rakaczki

Authors
  1. Ákos Pintér
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  2. Csaba Rakaczki
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Corresponding author

Correspondence to Ákos Pintér.

Additional information

Communicated by J. Schoißengeier.

Dedicated to the 75th birthday of Kálmán Győry.

Supported in part by the Hungarian Academy of Sciences, OTKA grants K100339, NK101680, NK104208 and by the European Union and the European Social Fund through project Supercomputer, the National Virtual Lab (Grant No. TÁMOP-4.2.2.C-11/1/KONV-2012-0010). This research was partially carried out in the framework of the Center of Excellence of Mechatronics and Logistics at the University of Miskolc.

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Pintér, Á., Rakaczki, C. On the decomposability of linear combinations of Bernoulli polynomials. Monatsh Math 180, 631–648 (2016). https://doi.org/10.1007/s00605-015-0799-3

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  • DOI: https://doi.org/10.1007/s00605-015-0799-3

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