Combinatorics of geometrically distributed random variables: New \(q\)-tangent and \(q\)-secant numbers

DOI10.1155/S0161171200004439zbMath0965.05012arXivmath/9910096MaRDI QIDQ5926143

Prodinger, Helmut

Publication date: 28 February 2001

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9910096

zbMATH Keywords

permutationscontinued fraction expansions\(q\)-analoguesgeometric distributionssecant numberstangent numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Related Items (11)

The number of distinct values in a geometrically distributed sample ⋮ Secant tree calculus ⋮ On some continued fraction expansions of the Rogers-Ramanujan type ⋮ Hankel continued fractions and Hankel determinants of the Euler numbers ⋮ Combinatorics of generalized \(q\)-Euler numbers ⋮ Zeros of generalized Rogers-Ramanujan series: asymptotic and combinatorial properties ⋮ A \(q\)-enumeration of alternating permutations ⋮ q-Enumeration of alternating permutations of odd length ⋮ Reverse plane partitions of skew staircase shapes and \(q\)-Euler numbers ⋮ Reverse plane partitions of skew staircase shapes and \(q\)-Euler numbers ⋮ Finite difference calculus for alternating permutations

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