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SUMS OF FINITE PRODUCTS OF LEGENDRE AND LAGUERRE POLYNOMIALS BY CHEBYSHEV POLYNOMIALS

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In this paper, we will consider sums of finite products of Legendre and Laguerre polynomials. Then we represent each those sums of finite products as linear combinations of the four kinds of Chebyshev polynomials.

Abstract

In this paper, we will consider sums of finite products of Legendre and Laguerre polynomials. Then we represent each those sums of finite products as linear combinations of the four kinds of Chebyshev polynomials.

참고문헌 (16)

  1. R. P. Agarwal, "Sums of finite products of Bernoulli functions", Adv, Difference Equ., 2017, pp.237~ (2017)[DOI]
  2. G. E. Andrews, "Special functions, Encyclopedia of Mathematics and its Applications 71" (1999), Cambridge University Press
  3. S. Araci, "The Legendre polynomials associated with Bernoulli, Euler Hermite and Bernstein polynomials", Thrkish J. Anal. Number Theory, 1(1), pp.1~3 (2013)
  4. R. Beals, "Special functions and orthogonal polynomials, Cambridge Studies in Advanced Mathematics 153" (2016), Cambridge University Press
  5. W. A. Khan, "A new class of Laguerre-based Apostol type polynomials", Cogent Math., 3(1) (2016)
  6. 김대산, "Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(4), pp.361~370 (2012), 장전수학회
  7. D. S. Kim, "Some identities on Laguerre polynomials in connection with Bernoulli and Euler numbers", Discrete Dyn. Nat. Soc. (2012)
  8. D. S. Kim, "Some identities for Bernoulli polynomials involving Chebyshev polynomials", J. Comput. Anal. Appl., 16(1), pp.172~180 (2014)
  9. D. S. Kim, "Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials", J. Inequal. Appl., 2012, pp.227~ (2012)[DOI]
  10. T. Kim, "Sums of finite products of Legendre and Laguerre polynomials"
  11. T. Kim, "Sums of finite products of Chebyshev polynomials of the second kind and Fibonacci polynomials in terms of Chebyshev polynomials", J. Inequ. Appl., 2018, pp.148~ (2018)[DOI]
  12. T. Kim, "Trends in Mathematics", pp.243~260 (2017), Springer
  13. T. Kim, "Sums of finite products of Genocchi functions", Adv. Difference Equ., 2017, pp.268~ (2017)[DOI]
  14. J. C. Mason, "Chebyshev polynomials of the second, third and fourth kinds in approximation indefinite integration, and integral transforms", J. Comput. Appl. Math., 49(1-3), pp.169~178 (1993)[DOI]
  15. Z. X. Wang, "Special functions" (1989), World Scientific Publishing Co., Inc.
  16. W. Zhang, "Two identities involving the integral of the first kind Chebyshev polynomials", Bull. Math. Soc. Sci. Math., 66(108)(1), pp.91~98 (2017)

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