Some identities on Bernstein polynomials associated with \(q\)-Euler polynomials

DOI10.1155/2011/294715zbMath1234.11024arXiv1101.2609OpenAlexW2016116095WikidataQ58654112 ScholiaQ58654112MaRDI QIDQ535952

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 May 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2609

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) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Approximation by polynomials (41A10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (5)

Some properties and identities of Bernoulli and Euler polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\) ⋮ Identities involving \(q\)-Bernoulli and \(q\)-Euler numbers ⋮ Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials ⋮ Higher recurrences for Apostol-Bernoulli-Euler numbers ⋮ Derivation of identities involving Bernoulli and Euler numbers

Cites Work

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• A study on the \(p\)-adic integral representation on \(\mathbb Z_p\) associated with Bernstein and Bernoulli polynomials
• On \(p\)-adic analogue of \(q\)-Bernstein polynomials and related integrals
• \(q\)-Bernstein polynomials associated with \(q\)-Stirling numbers and Carlitz's \(q\)-Bernoulli numbers
• On multiple interpolation functions of the \(q\)-Genocchi polynomials
• Some identities of the Frobenius-Euler polynomials
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• Barnes-type multipleq-zeta functions andq-Euler polynomials
• Note on the Euler Numbers and Polynomials

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