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A degenerate version of hypergeometric Bernoulli polynomials: announcement of results

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12 oct 2024

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F. A. Costabile and E. Longo, ∆h-Appell sequences and related interpolation problem, Numerical Algorithms, vol. 63, no. 5, pp. 165–186, 2013. Search in Google Scholar

C. Jordan, Calculus of Finite Differences. Chelsea Publishing Company, 1965. Search in Google Scholar

J. Hernández, D. Peralta, and Y. Quintana, A look at generalized degenerate Bernoulli and Euler matrices, Mathematics, vol. 11, no. 12, p. 2731, 2023. Search in Google Scholar

T. Kim and D. S. Kim, On some degenerate differential and degenerate difference operators, Russian Journal of Mathematical Physics, vol. 29, pp. 37–46, 2022. Search in Google Scholar

T. Kim and D. S. Kim, Identities of symmetry for degenerate Euler polynomials and alternating generalized falling factorial sums, Iran. J. Sci. Technol. Trans. Sci., vol. 61, pp. 939–949, 2017. Search in Google Scholar

T. Kim and D. S. Kim, Degenerate Bernstein polynomials, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM, vol. 113, no. 3, pp. 2913–2920, 2019. Search in Google Scholar

F. A. Costabile and E. Longo, A determinantal approach to Appell polynomials, Journal of Computational and Applied Mathematics, vol. 234, no. 5, pp. 1528–1542, 2010. Search in Google Scholar

F. T. Howard, Some sequences of rational numbers related to the exponential function, Duke Mathematical Journal, vol. 34, no. 4, pp. 701–716, 1967. Search in Google Scholar

P. Natalini and A. Bernardini, A generalization of the Bernoulli polynomials, Journal of Applied Mathematics, vol. 2003, no. 3, pp. 155–163, 2003. Search in Google Scholar

A. Hassen and H. D. Nguyen, Hypergeometric Bernoulli polynomials and Appell sequences, International Journal of Number Theory, vol. 4, no. 5, pp. 767–774, 2000. Search in Google Scholar

Y. Quintana, W. Ramírez, and A. Urieles, On an operational matrix method based on generalized Bernoulli polynomials of level m, Calcolo, vol. 55, no. 3, p. 29 pp, 2018. Search in Google Scholar

Y. Quintana and H. Torres-Guzmán, Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level m, Univers. J. Math. Appl., vol. 2, no. 4, pp. 188–201, 2019. Search in Google Scholar

C. Cesarano, Y. Quintana, and W. Ramírez, Degenerate versions of hypergeometric Bernoulli–Euler polynomials, Lobachevskii Journal of Mathematics. In press, 2024. Search in Google Scholar

G. Dattoli, Hermite-Bessel and Laguerre-Bessel functions: a by-product of the monomiality principle, in Advanced Special Functions and Applications (Melfi, 1999). Proceedings of the Melfi School on Advanced Topics in Mathematics and Physics (D. Cocolicchio, G. Dattoli, and H. M. Srivastava, eds.), vol. 1, pp. 147–164, Aracne, 2000. Search in Google Scholar

G. Dattoli, Generalized polynomials, operational identities and their applications, Journal of Computational and Applied Mathematics, vol. 118, no. 1, pp. 111–123, 2000. Search in Google Scholar

G. Dattoli and S. Licciardi, Monomiality and a new family of Hermite polynomials, Symmetry, vol. 15, no. 6, p. 1254, 2023. Search in Google Scholar

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1 veces al año
Temas de la revista:
Matemáticas, Matemáticas numéricas y computacionales, Matemáticas aplicadas