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Eulerian polynomials and rational generating functions: Appell and other sequences
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We express (formula) is a polynomial of degree n with the property (formula) in terms of Eulerian polynomials. Also, we derive rational generating functions of these polynomials.
Abstract
We express (formula) is a polynomial of degree n with the property (formula) in terms of Eulerian polynomials. Also, we derive rational generating functions of these polynomials.
참고문헌 (8)
- G. E. Andrews, "Special Functions. Encyclopedia of Mathematics and Its Applications 71" (1999), Cambridge University Press
- L. Euler, "Institutiones calculi di erentialis cum eius usu in analysi nitorum ac Doctrina serierum", Academiae Imperialis Scientiarum Petropolitanae, St Petersbourg, 1775, chap. VII("Methodus summanan superior ulterius promota"), ~
- Dominique Foata, "Eulerian polynomials: from Euler's Time to the Present. The legacy of Alladi Ramakrishnan in the mathematical sciences", pp.253~273 (2010), Springer
- D. S. Kim, "A note on Eulerian polynomials"
- 김대산, "A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.379~389 (2012), 장전수학회[DOI]
- N. E. Norlund, "Vorlesungen uber Di erenzenrechnung" (1924), Springer-Verlag
- H.M. Srivastava, "Remarks on some relationships between Bernoulli and Euler polynomials", Applied Math. Letters, 17, pp.375~380 (2004)
- Richard P. Stanley, "Enumerative Combinatorics, Volume I", pp.1986, The Wadsworth and Brooks
관련 논문AI추천
Revisit nonlinear differential equations associated with Eulerian polynomials김대산, 김태균대한수학회 · 대한수학회보2017 · 제54권 제4호Some identities on degenerate Eulerian polynomials and numbers서종진, Dae San Kim, Taekyun Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제1호A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials김대산, 김영희, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호A note on q-Eulerian polynomials김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호A note on degenerate Eulerian numbers and polynomials김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호INTERPOLATION FUNCTIONS OF THE EULERIAN TYPE POLYNOMIALS AND NUMBERSYilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호
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