HYPERGEOMETRIC CAUCHY NUMBERS

DOI10.1142/S1793042112501473zbMath1301.11030OpenAlexW1971900049MaRDI QIDQ4918846

Takao Komatsu

Publication date: 6 May 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112501473

zbMATH Keywords

Cauchy numbershypergeometric Cauchy numbers

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (20)

On hypergeometric Cauchy numbers of higher grade ⋮ Several expressions of truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers ⋮ Hypergeometric Euler numbers ⋮ Incomplete poly-Cauchy numbers ⋮ Incomplete Cauchy numbers ⋮ Poly-Cauchy numbers with a \(q\) parameter ⋮ Several properties of multiple hypergeometric Euler numbers ⋮ Two types of hypergeometric degenerate Cauchy numbers ⋮ \(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson's integrals ⋮ Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials ⋮ Explicit expressions for the related numbers of higher order Appell polynomials ⋮ Truncated euler polynomials ⋮ Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers ⋮ Hypergeometric Cauchy numbers and polynomials ⋮ Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers ⋮ Generalized hypergeometric Bernoulli numbers ⋮ Several continued fraction expansions of generalized Cauchy numbers ⋮ Cameron's operator in terms of determinants and hypergeometric numbers ⋮ Hypergeometric degenerate Bernoulli polynomials and numbers ⋮ Continued fraction expansions of the generating functions of Bernoulli and related numbers

Cites Work

• Sums of products of hypergeometric Bernoulli numbers
• Convolution identities and lacunary recurrences for Bernoulli numbers
• Higher-order recurrences for Bernoulli numbers
• Sums of products of Cauchy numbers
• Poly-Bernoulli numbers
• Sums of products of Bernoulli numbers
• The Cauchy numbers
• A sequence of numbers related to the exponential function
• Some sequences of rational numbers related to the exponential function
• POLY-CAUCHY NUMBERS
• HYPERGEOMETRIC ZETA FUNCTIONS
• HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES

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