Recursion rules for the hypergeometric zeta function

DOI10.1142/S1793042114500547zbMath1372.11021arXiv1305.1892MaRDI QIDQ3191219

Christophe Vignat, Lin Jiu, Alyssa N. Byrnes, Victor H. Moll

Publication date: 30 September 2014

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

Full work available at URL: https://arxiv.org/abs/1305.1892

zbMATH Keywords

hypergeometric functionszeta functionsbeta random variablesconjugate random variables

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Combinatorial probability (60C05) Special sequences and polynomials (11B83) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Multiple zeta values for classical special functions ⋮ Factorization of the characteristic function of a Jacobi matrix ⋮ On hypergeometric Bernoulli numbers and polynomials ⋮ Arithmetical properties of hypergeometric Bernoulli numbers

Cites Work

• Unnamed Item
• Cumulants and convolutions via Abel polynomials
• Two integer sequences related to Catalan numbers
• NIST digital library of mathematical functions
• Stirling's Series Revisited
• Singularities of bessel‐zeta functions and Hawkins' polynomials
• The zeta function constructed from the zeros of the Bessel function
• On the quantum zeta function
• Ten Physical Applications of Spectral Zeta Functions
• HYPERGEOMETRIC ZETA FUNCTIONS
• HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES
• Arithmetic properties of Bernoulli-Padé numbers and polynomials.

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