Discrete gamma (factorial) function and its series in terms of a generalized difference operator

DOI10.1155/2012/780646zbMath1268.65032OpenAlexW2004016092WikidataQ58698679 ScholiaQ58698679MaRDI QIDQ1953200

Yanyan Li

Publication date: 7 June 2013

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/780646

zbMATH Keywords

difference operatorgamma seriesdiscrete gamma functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Discrete version of topics in analysis (39A12) Numerical approximation and evaluation of special functions (33F05) Numerical methods for difference equations (65Q10)

Cites Work

• Discrete-time fractional variational problems
• Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
• Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
• A formulation of Noether's theorem for fractional problems of the calculus of variations
• Fractional h-difference equations arising from the calculus of variations
• Advances in Fractional Calculus
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