- Source: F. H. Jackson
The Reverend Frank Hilton Jackson (16 August 1870, Hull, England – 27 April 1960) was an English clergyman and mathematician who worked on basic hypergeometric series. He introduced several q-analogs such as the Jackson–Bessel functions, the Jackson-Hahn-Cigler q-addition, the Jackson derivative, and the Jackson integral.
Further reading
Ernst, T. (2012). A Comprehensive Treatment of q-Calculus. Springer Science & Business Media.
Gasper, G., Rahman, M.(2004). Basic Hypergeometric Series. Cambridge University Press.
References
Chaundy, T. W. (1962), "Frank Hilton Jackson", J. London Math. Soc., 37: 126–128, doi:10.1112/jlms/s1-37.1.126
Selected papers
Jackson, F. H. (1917). The
q
{\displaystyle q}
-integral analogous to Borel's integral. Messenger Math, 47, 57–64.
Jackson, F. H. (1921). Summation of
q
{\displaystyle q}
-hypergeometric series. Messenger of Math, 57, 101–112.
Jackson, F. H. (1928). Examples of a generalization of Euler's transformation for power series. Messenger Math, 57, 169–187.
Jackson, F. H. (1940). The
q
θ
{\displaystyle q^{\theta }}
equations whose solutions are products of solutions of
q
θ
{\displaystyle q^{\theta }}
equations of lower order. The Quarterly Journal of Mathematics, (1), 1-17.
Jackson, F. H. (1941). Certain
q
{\displaystyle q}
-identities. The Quarterly Journal of Mathematics, (1), 167–172.
Jackson, F. H. (1942). On basic double hypergeometric functions. The Quarterly Journal of Mathematics, (1), 69–82.
Jackson, F. H. (1944). Basic double hypergeometric functions (II). The Quarterly Journal of Mathematics, (1), 49–61.
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