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Entropic Inequalities and Properties of Some Special Functions

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Journal of Russian Laser Research Aims and scope

Abstract

Using known entropic and information inequalities, we obtain new inequalities for some classical polynomials. We consider examples of Jacobi and Legendre polynomials.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Vladimir I. Man’ko

  2. Moscow Institute of Physics and Technology (State University), Institutskiíper. 9, Dolgoprudnyí, Moscow Region, 141700, Russia

    Vladimir I. Man’ko & L. A. Markovich

  3. Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya Str. 65, Moscow, 117997, Russia

    L. A. Markovich

Authors
  1. Vladimir I. Man’ko
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  2. L. A. Markovich
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Correspondence to L. A. Markovich.

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Man’ko, V.I., Markovich, L.A. Entropic Inequalities and Properties of Some Special Functions. J Russ Laser Res 35, 200–210 (2014). https://doi.org/10.1007/s10946-014-9414-7

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  • DOI: https://doi.org/10.1007/s10946-014-9414-7

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