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A family of associated sequences and their representations by Appell polynomials
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This paper studies the problem of representing any polynomial in certain family of associated sequences in terms of Appell polynomials by using umbral calculus. Further, simple examples are provided to illustrate the results.
Abstract
This paper studies the problem of representing any polynomial in certain family of associated sequences in terms of Appell polynomials by using umbral calculus. Further, simple examples are provided to illustrate the results.
참고문헌 (9)
- R. P. Agarwal, "Sums of finite products of Bernoulli functions", Adv. Difference Equ, 237, pp.15~ (2017)
- T. Kim, "Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds", Adv. Difference Equ, pp.16~ (2019)
- T. Kim, "Sums of finite products of Chebyshev polynomials of the third and fourth kinds", Adv. Difference Equ, pp.17~ (2018)
- T. Kim, "Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials", J. Inequal. Appl, pp.14~ (2018)
- T. Kim, "Sums of finite products of Legendre and Laguerre polynomials", Adv. Difference Equ, pp.17~ (2018)
- T. Kim, "Trends in Mathematics", pp.243~260 (2017), Springer
- T. Kim, "Fourier series for functions related to Chebyshev polynomials of the first kind and Lucas polynomials", Mathematics, 6(12), pp.15~ (2018)
- P. E. Ricci, "General linear recurrence sequences and their convolution formulas", Axioms, 8(4), pp.11~ (2019)
- S. Roman, "The umbral calculus, Pure and Applied Mathematics" (1984), Academic Press, Inc
관련 논문AI추천
A NOTE ON ASSOCIATED SEQUENCES OF POLYNOMIALS김태균, 박진우, 임석훈, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호Sheffer sequences for the powers of Sheffer pairs under umbral composition김대산, C. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호Modified Apostol-type polynomials arising from umbral calculusHacer Ozden, Toufik Mansour, Yilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호Finding results for certain relatives of the Appell polynomialsMahvish Ali, Subuhi Khan대한수학회 · 대한수학회보2019 · 제56권 제1호Applications of umbral algebra to some special polynomialsR. Dere, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호ON THE ASSOCIATED SEQUENCE OF SPECIAL POLYNOMIALS김대산, 김태균, 이승훈, 임석훈장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호
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