Factorial transformation for some classical combinatorial sequences

DOI10.1134/S0965542518110155zbMath1416.05023OpenAlexW2902675303MaRDI QIDQ2416748

Victor P. Varin

Publication date: 24 May 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518110155

zbMATH Keywords

generating functionstangent numbersStirling numberscontinued fractionsBell numbersEuler numbersfactorial seriesdivergent power seriesfactorial transformation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

APPLICATION OF MULTIHARMONIC NUMBERS FOR THE SYNTHESIS OF CLOSED FORMS OF PARAMETRICALLY MODIFIED FACTORIAL GENERATING SEQUENCES ⋮ Functional summation of series ⋮ Approximation of differential operators with boundary conditions ⋮ On interpolation of some recurrent sequences ⋮ Sequence transformations in proofs of irrationality of some fundamental constants ⋮ Invariant curves of some discrete dynamical systems

Uses Software

• OEIS

Cites Work

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• Summation of divergent power series by means of factorial series
• Some canonical sequences of integers
• Ramanujan summation of divergent series
• The Hankel Power Sum Matrix Inverse and the Bernoulli Continued Fraction
• Bernoulli Numbers and Zeta Functions