A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials

DOI10.5937/MatMor1902001KzbMath1465.11072MaRDI QIDQ4990699

Musharraf Ali, Waseem A. Khan, Idrees A. Khan

Publication date: 31 May 2021

Published in: Mathematica Moravica (Search for Journal in Brave)

zbMATH Keywords

Hermite polynomialsStirling numbers of the second kindsymmetric identities\(q\)-polylogarithm function\(q\)-analogue of poly-Bernoulli polynomials\(q\)-analogue of Hermite poly-Bernoulli polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

ON THE (p, q)-POLY-KOROBOV POLYNOMIALS AND RELATED POLYNOMIALS ⋮ On some integral inequalities in quantum calculus ⋮ A new family of degenerate poly-Genocchi polynomials with its certain properties

Cites Work

• A new class of generalized polynomials associated with Hermite and Euler polynomials
• Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials
• Poly-Bernoulli numbers
• Exponential polynomials
• Explicit formulas and combinatorial identities for generalized Stirling numbers
• A note on poly-Bernoulli numbers and polynomials of the second kind
• A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials
• Poly-Bernoulli numbers and polynomials with a \(q\) parameter
• On the Lerch zeta function
• Some New Classes of Generalized Hermite-Based Apostol-Euler and Apostol-Genocchi Polynomials
• Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
• A NOTE ON q-ANALOGUE OF POLY-BERNOULLI NUMBERS AND POLYNOMIALS
• A note on degenerate Hermite poly-Bernoulli numbers and polynomials
• ON DEGENERATE q-TANGENT POLYNOMIALS OF HIGHER ORDER
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