On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function
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Publication:1737385
DOI10.2478/ausm-2018-0011zbMath1439.11087OpenAlexW2890334291MaRDI QIDQ1737385
Publication date: 27 March 2019
Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/ausm-2018-0011
Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
Related Items (3)
Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric \(k\)-function ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions
Cites Work
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- Several closed expressions for the Euler numbers
- Explicit expressions for a family of the Bell polynomials and applications
- Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers
- Derivatives of tangent function and tangent numbers
- An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers
- Some inequalities for the Bell numbers
- Expansions of the exponential and the logarithm of power series and applications
- Six proofs for an identity of the Lah numbers
- AN INTEGRAL REPRESENTATION, SOME INEQUALITIES, AND COMPLETE MONOTONICITY OF THE BERNOULLI NUMBERS OF THE SECOND KIND
- Diagonal recurrence relations for the Stirling numbers of the first kind
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