Some identities on Laguerre polynomials in connection with Bernoulli and Euler numbers

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

Mathematics Subject Classification ID

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 \(\alpha\)
• Some formulae for the product of two Bernoulli and Euler polynomials
• Novel identities for \(q\)-Genocchi numbers and polynomials
• 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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