An algorithm for the solution of certain differential-difference equations of advanced type
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- by G. Greaves PDF
- Math. Comp. 38 (1982), 237-247 Request permission
Abstract:
The differential-difference problem \[ \frac {d}{{ds}}\;\{ {sJ(s)} \} + J(s + 1) = 0\;(\operatorname {Re} (s) > 0);\quad sJ(s) \to 1\;{\text {as}}\;s \to 0,\] which arises in the theory of numbers, is studied and an algorithm developed for the simultaneous numerical approximation of the derivatives ${J^{(n)}}(s)$. An error bound is established for the process described and its numerical performance and stability are discussed.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 38 (1982), 237-247
- MSC: Primary 65R20; Secondary 10H30
- DOI: https://doi.org/10.1090/S0025-5718-1982-0637302-7
- MathSciNet review: 637302