References
- Aitken , A. C. 1929 . General relations between central sums and central terms . J. Inst. Act. , d60 : 339 – 340 .
- Benjamin , B. and Haycocks , H. W. 1970 . The analysis of mortality and other actuarial statistics , Cambridge University Press .
- Brown , R. B. 1973 . Sequences of functions of binomial type . Discrete Math. , d6 : 313 – 331 .
- Fröberg , C.-E. 1969 . Introduction to numerical analysis , Edited by: 2nd . Addison-Wesley .
- Garsia , M. 1973 . An expose of the Mullin-Rota theory of polynomials of binomial type . J. Linear and Multilinear Algebra , d1 : 47 – 65 .
- Guinand , A. P. 1979 . The umbral method: a survey of elementary mnemonic and manipulative uses . Amer. Math. Monthly. , d86 : 187 – 195 .
- Hildebrand , F. B. 1956 . Introduction to numerical analysis , McGraw-Hill .
- Jordan , C. W. 1967 . Life contingencies , Edited by: 2nd . Society of Actuaries .
- Lidstone , G. J. 1924 . General relations between central sums and central terms . J. Inst. Act. , d55 : 177 – 180 .
- Mullin , R. and Rota , G.-C. 1970 . “ On the foundations of combinatorial theory III, theory of binomial enumeration ” . In Graph theory and its applications , Edited by: Harris , B. 167 – 213 . Academic Press .
- Roman , S. 1980 . The algebra for formal series. II. Sheffer sequences . J. Math. Anal. Appl. , 74 : 120 – 143 .
- Roman , S. and Rota , G.-C. 1978 . The umbral calculus . Advances in Math. , 27 : 95 – 188 .
- Rota , G.-C. , Kahaner , D. and Odlyzko , A. 1973 . On the foundations of combinatorial theory VIII, finite operator calculus . J. Math. Anal. Appl. , d42 : 685 – 760 .
- Rota , G.-C. 1975 . Finite operator calculus , 7 – 82 . Academic Press .
- Sheffer , I. M. 1939 . Some properties of polynomial sets of type zero . Duke Math. J. , d5 : 590 – 622 .
- Steffensen , J. F. 1927 . Interpolation , Williams & Wilkins .
- Steffensen , J. F. 1933 . On the definition of the central factorial . J. Inst. Act. , d64 : 165 – 168 .
- Steffensen , J. F. 1941 . The poweroid, an extension of the mathematical notion of power . Acta Math. , d73 : 333 – 366 .