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- W85530090 abstract "We give a survey of the different schools in q-analysis and introduce difference calculus and Bernoulli numbers to make a preparation for the important fourth chapter. We summarize the different attempts at elliptic and Theta functions, both of which are intimately related to q-calculus. We present the history of trigonometry, prosthaphaeresis, logarithms and calculus, because we claim that Fermat introduced the precursor of the q-integral long before calculus was invented. The Hindenburg combinatoric School gives a background to the discovery of the Schweins q-binomial theorem. The so-called Fakultaten was a forerunner to the Γ function and q-factorial. In the year 1844, Gudermann published his book on elliptic functions and two years later, in 1846, Heine published his important article on q-hypergeometric series, referring to Gauss’s Disquisitiones, pointing out the two q-analogues of the exponential function." @default.
- W85530090 created "2016-06-24" @default.
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- W85530090 date "2012-01-01" @default.
- W85530090 modified "2023-09-27" @default.
- W85530090 title "The different languages of q-calculus" @default.
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- W85530090 doi "https://doi.org/10.1007/978-3-0348-0431-8_2" @default.
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