Some identities on Laguerre polynomials in connection with Bernoulli and Euler numbers
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Publication:714274
DOI10.1155/2012/619197zbMath1254.33010OpenAlexW1991626981WikidataQ58700668 ScholiaQ58700668MaRDI QIDQ714274
Dmitry V. Dolgy, Dae San Kim, Taekyun Kim
Publication date: 19 October 2012
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/619197
Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)
Related Items (6)
The extended Laguerre polynomials \(\{A_{q, n}^{(\alpha)}(x)\}\) involving \(_qF_q\), \(q>2\) ⋮ Expressing sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials by several orthogonal polynomials ⋮ Задачі зв’язності для узагальнених гіпергеометричних многочленів Аппеля ⋮ Unnamed Item ⋮ Connection problem for sums of finite products of Chebyshev polynomials of the third and fourth kinds ⋮ Connection problem for sums of finite products of Legendre and Laguerre polynomials
Cites Work
- A note on the \(q\)-Euler numbers and polynomials with weak weight \(\alpha\)
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- Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
- A note on sums of products of Bernoulli numbers
- On finite sums of Laguerre polynomials
- Laguerre polynomial approach for solving linear delay difference equations
- Construction a new generating function of Bernstein type polynomials
- A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials
- Some relations between twisted \((h, q)\)-Euler numbers with weight \(a\) and \(q\)-Bernstein polynomials with weight \(a\)
- Integral formulae of Bernoulli polynomials
- Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
- A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
- Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
- Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
- Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
- On the weighted q-Bernoulli numbers and polynomials
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- The p-adic generalized twisted (h,q)-euler-l-function and its applications
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