Hypergeometric Cauchy numbers and polynomials
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Publication:681571
DOI10.1007/s10474-017-0744-0zbMath1399.11068OpenAlexW2754967297MaRDI QIDQ681571
Publication date: 12 February 2018
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-017-0744-0
recurrence relationdeterminanthypergeometric functionCauchy numberhypergeometric Cauchy numbersum of products
Determinants, permanents, traces, other special matrix functions (15A15) Recurrences (11B37) Other combinatorial number theory (11B75) Classical hypergeometric functions, ({}_2F_1) (33C05) Matrices, determinants in number theory (11C20)
Related Items (11)
On hypergeometric Cauchy numbers of higher grade ⋮ Several expressions of truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers ⋮ Several properties of multiple hypergeometric Euler numbers ⋮ Explicit expressions for higher order binomial convolutions of numerical sequences ⋮ Fibonacci determinants with Cameron's operator ⋮ Explicit expressions for the related numbers of higher order Appell polynomials ⋮ Harmonic numbers associated with inversion numbers in terms of determinants ⋮ Generalized hypergeometric Bernoulli numbers ⋮ Several properties of hypergeometric Bernoulli numbers ⋮ Cameron's operator in terms of determinants and hypergeometric numbers ⋮ Hypergeometric degenerate Bernoulli polynomials and numbers
Cites Work
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- Cauchy-Carlitz numbers
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