The Reverend Frank Hilton Jackson (16 August 1870 in 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
Selected papers Jackson, F. H. (1917). The -integral analogous to Borel's integral. Messenger Math, 47, 57–64. Jackson, F. H. (1921). Summation of -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 equations whose solutions are products of solutions of equations of lower order. The Quarterly Journal of Mathematics, (1), 1–17. Jackson, F. H. (1941). Certain -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.