Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions
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By A.A. Kirillov (Editor), G.van Dijk (Translator), A.U. Klimyk (Contribution by), A.U. Klimyk (Translator), V.F. Molchanov (Contribution by), V.F. Molchanov (Translator), N.Ya. Vilenkin (Contribution by), S.Z. Pakuliak (Translator)
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At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the exponential function, the prob ability integral and so on. Elliptic integrals proved to be the most important. They are connected with rectification of arcs of certain curves. The remarkable idea of Abel to replace these integrals by the corresponding inverse functions led to the creation of the...


