A note on degenerate generalized Laguerre polynomials and Lah numbers
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Publication:2167182
DOI10.1186/s13662-021-03574-8zbMath1494.33006arXiv2107.02571OpenAlexW3199100336MaRDI QIDQ2167182
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.02571
Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83)
Related Items (4)
On some degenerate differential and degenerate difference operators ⋮ \(\Delta_\omega\)-Laguerre based Appell polynomials and their properties associated with some special polynomials ⋮ On degenerate gamma matrix functions and related functions ⋮ Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations
Cites Work
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- Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials
- Lah numbers, Laguerre polynomials of order negative one, and the \(n\)th derivative of \(\exp(1/x)\)
- Degenerate zero-truncated Poisson random variables
- Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials
- Note on the degenerate gamma function
- Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series
- Identities involving Laguerre polynomials derived from umbral calculus
- Some generating functions for Laguerre polynomials
- Solution of time domain electric field Integral equation using the Laguerre polynomials
- Combinatorial Identities for Stirling Numbers
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