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 ...
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 ...
In this paper, we introduce and study a generalization of the k-Bessel function of order ν given by Wν,ck(x):=∑r=0∞(-c)rΓk(rk+ν+k)r!(x2)2r+νk. We also indicate some representation formulae for 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 ...
One of the most efficient methods to obtain the vacuum expectation values for the physical observables in the Casimir effect is based on the using the Abel-Plana summation formula. This allows to ...
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