Title of article :
On the orthogonality of the MacDonaldʹs functions
Author/Authors :
Passian، نويسنده , , A. and Simpson، نويسنده , , H. and Kouchekian، نويسنده , , S. and Yakubovich، نويسنده , , S.B.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2009
Abstract :
A proof of an orthogonality relation for the MacDonaldʹs functions with identical arguments but unequal complex lower indices is presented. The orthogonality is derived first via a heuristic approach based on the Mehler–Fock integral transform of the MacDonaldʹs functions, and then proved rigorously using a polynomial approximation procedure.
Keywords :
Kontorovich–Lebedev transform , Mehler–Fock transform , Modified Bessel functions
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
