Some identities of degenerate higher-order Daehee polynomials based on \(\lambda\)-umbral calculus

DOI10.3934/era.2023155MaRDI QIDQ6153078

Dojin Kim, Sangbeom Park, JongKyum Kwon

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

zbMATH Keywords

generating functionspecial polynomial\(\lambda\)-umbral calculus\(\lambda\)-Sheffer polynomialdegenerate higher-order Daehee polynomial

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials
• Degenerate Mittag-Leffler polynomials
• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
• A degenerate Staudt-Clausen theorem
• Some results on degenerate Daehee and Bernoulli numbers and polynomials
• Representations by degenerate Daehee polynomials
• Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs
• A note on a new type of degenerate Bernoulli numbers
• Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences
• Some identities on truncated polynomials associated with degenerate Bell polynomials
• Degenerate polyexponential functions and degenerate Bell polynomials
• SOLUTIONS OF THE CONNECTION PROBLEMS BETWEEN FERMAT AND GENERALIZED FIBONACCI POLYNOMIALS

This page was built for publication: Some identities of degenerate higher-order Daehee polynomials based on \(\lambda\)-umbral calculus