Incomplete Cylindrical Functions of Bessel Form
In the preceeding chapter we considered a class of functions expressed in the form of a Poisson integral with an arbitrary integration contour. In addition, the cylindrical functions may be also represented as Bessel Schlaefli-Sonine integrals with fully determined integration contours. In the present chapter we shall consider another class of functions, defined by similar integrals, but with arbitrary contours of integration. Here, as before, these will be so constructed that for appropriately chosen contours they tend continuously to the well known cylindrical functions. In this connection we shall call them incomplete cylindrical functions of Bessel form and denote them by ε v (ω, z).
KeywordsAsymptotic Expansion Bessel Function Recursion Relation Integration Contour Hankel Function
Unable to display preview. Download preview PDF.