On some degenerate differential and degenerate difference operators

DOI10.1134/S1061920822010046MaRDI QIDQ2120147

Yanyan Li

Publication date: 31 March 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Difference operators (39A70) Other special orthogonal polynomials and functions (33C47) Linear difference operators (47B39)

Related Items (17)

Generating functions for reciprocal Catalan-type sums: approach to linear differentiation equation and ($p$-adic) integral equations ⋮ Degenerate \(r\)-Whitney numbers and degenerate \(r\)-Dowling polynomials via boson operators ⋮ Representations of degenerate Hermite polynomials ⋮ Some identities involving degenerate Stirling numbers associated with several degenerate polynomials and numbers ⋮ Combinatorial identities involving degenerate harmonic and hyperharmonic numbers ⋮ Some identities on generalized harmonic numbers and generalized harmonic functions ⋮ Fully degenerate Bernoulli numbers and polynomials ⋮ Normal ordering associated with \(\lambda\)-Whitney numbers of the first kind in \(\lambda\)-shift algebra ⋮ Some identities of degenerate harmonic and degenerate hyperharmonic numbers arising from umbral calculus ⋮ Some results on fractional Hahn difference boundary value problems ⋮ Generating functions for series involving higher powers of inverse binomial coefficients and their applications ⋮ Exploring a new discrete delayed Mittag–Leffler matrix function to investigate finite‐time stability of Riemann–Liouville fractional‐order delay difference systems ⋮ Some results on degenerate Fubini and degenerate Bell polynomials ⋮ Some identities on degenerate hyperharmonic numbers ⋮ Some identities on degenerate \(r\)-Stirling numbers via Boson operators ⋮ Unnamed Item ⋮ Some identities related to degenerate Stirling numbers of the second kind

Cites Work

• A degenerate Staudt-Clausen theorem
• Construction of partially degenerate Laguerre-Genocchi polynomials with their applications
• A note on degenerate generalized Laguerre polynomials and Lah numbers
• A note on a new type of degenerate Bernoulli numbers
• Note on the degenerate gamma function
• Some identities on truncated polynomials associated with degenerate Bell polynomials
• A note on degenerate stirling polynomials of the second kind
• Combinatorial Identities for Stirling Numbers
• Construction of a generalization of the Leibnitz numbers and their properties
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