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Interpolation Formulas for B-Derivative of the Schlӧmilch J-Polynomial

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For Schlömilch polynomials in even and odd Bessel j-functions we prove formulas similar to the Riesz interpolation formula. Bibliography: 8 titles.

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References

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  3. L. N. Lyakhov and E. L. Sanina, “Schlömilch polynomials: Riesz’s interpolation formula for B-derivatives and Bernstein’s inequality for Weyl-Marchaud fractional B-derivatives” Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 5, 592–596 (2007); English transl.: Dokl. Math. 76, No. 3, 916–920 (2007).

  4. L. N. Lyakhov, “The construction of Dirichlet and de la Vallee-Poussin-Nikol’skii kernels for j-Bessel Fourier integrals” [in Russian], Tr. Mosk. Mat. O.-va 76, No. 1, 67-84 (2015); English transl.: Trans. Mosc. Math. Soc. 2015, 55-69 (2015).

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  7. I. A. Kipriyanov and V. I. Kononenko, “On fundamental solutions of certain singular partial differential equations” [in Russian] Diff. Uravn. 5, No. 8, 1470-1483 (1969); English transl.: Differ. Equations 5, 1082–1091 (1972).

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Authors and Affiliations

  1. Voronezh State University, 1, Universitetskaya pl., Voronezh, 394006, Russia

    L. N. Lyakhov & E. L. Sanina

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  1. L. N. Lyakhov
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  2. E. L. Sanina
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Correspondence to L. N. Lyakhov.

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Translated from Problemy Matematicheskogo Analiza 84, April 2016, pp. 107-112.

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Lyakhov, L.N., Sanina, E.L. Interpolation Formulas for B-Derivative of the Schlӧmilch J-Polynomial. J Math Sci 216, 263–269 (2016). https://doi.org/10.1007/s10958-016-2899-6

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  • DOI: https://doi.org/10.1007/s10958-016-2899-6

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