Degenerate Mittag-Leffler polynomials

DOI10.1016/j.amc.2015.11.014zbMath1410.05009OpenAlexW2185698584MaRDI QIDQ668825

Juan-Miguel Gracia

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.11.014

zbMATH Keywords

umbral calculusBernoulli polynomialsFrobenius-Euler polynomialsdegenerate Mittag-Leffler polynomialsfalling factorial polynomials

Mathematics Subject Classification ID

Umbral calculus (05A40) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Computation of special functions and constants, construction of tables (65D20) Special sequences and polynomials (11B83) Numerical aspects of recurrence relations (65Q30)

Related Items (3)

Some identities of degenerate higher-order Daehee polynomials based on \(\lambda\)-umbral calculus ⋮ Exploring a new discrete delayed Mittag–Leffler matrix function to investigate finite‐time stability of Riemann–Liouville fractional‐order delay difference systems ⋮ Fractional differential equations for the generalized Mittag-Leffler function

Cites Work

• On some expansions for the Euler gamma function and the Riemann zeta function
• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• On degenerate Bell numbers and polynomials
• The deformed and modified Mittag-Leffler polynomials
• Degenerate poly-Cauchy polynomials
• A degenerate Staudt-Clausen theorem
• Barnes-type degenerate Euler polynomials
• A note on degenerate poly-Bernoulli numbers and polynomials
• Identities involving Laguerre polynomials derived from umbral calculus
• Umbral calculus associated with Frobenius-type Eulerian polynomials
• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
• A general class of polynomials associated with generalized Mittag-Leffler function
• Heisenberg algebra, umbral calculus and orthogonal polynomials
• An Orthogonal Property of the Hypergeometric Polynomial
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