Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...
Abstract: This appendix talks about Bessel functions. Zeros of the ordinary Bessel function and its derivative can be approximated by the first two terms of McMahon's expansion. The chapter shows the ...
ABSTRACT: In analogy to the role of Lommel polynomials in relation to Bessel functions Jv(z) the theory of Associated Hermite polynomials in the scaled form with parmeter v to Parabolic Cylinder ...
Abstract: A rigorous algorithm for computing integer order Bessel functions of the first and second kind with complex arguments is discussed. The algorithm makes use of backward recurrence for ...
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind ...
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