본문 바로가기
KERD
논문KCI 등재

A family of associated sequences and their representations by Appell polynomials

1

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류수학

초록

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)

  1. R. P. Agarwal, "Sums of finite products of Bernoulli functions", Adv. Difference Equ, 237, pp.15~ (2017)
  2. 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)
  3. T. Kim, "Sums of finite products of Chebyshev polynomials of the third and fourth kinds", Adv. Difference Equ, pp.17~ (2018)
  4. T. Kim, "Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials", J. Inequal. Appl, pp.14~ (2018)
  5. T. Kim, "Sums of finite products of Legendre and Laguerre polynomials", Adv. Difference Equ, pp.17~ (2018)
  6. T. Kim, "Trends in Mathematics", pp.243~260 (2017), Springer
  7. T. Kim, "Fourier series for functions related to Chebyshev polynomials of the first kind and Lucas polynomials", Mathematics, 6(12), pp.15~ (2018)
  8. P. E. Ricci, "General linear recurrence sequences and their convolution formulas", Axioms, 8(4), pp.11~ (2019)
  9. S. Roman, "The umbral calculus, Pure and Applied Mathematics" (1984), Academic Press, Inc

관련 논문AI추천

이 간행물의 다른 논문 (14건)