6533b85cfe1ef96bd12bd52b

RESEARCH PRODUCT

Products of Bessel functions and associated polynomials

Elio SabiaSilvia LicciardiEmanuele Di PalmaGiuseppe Dattoli

subject

Hermite polynomialsCylindrical harmonicsHermite polynomialsBessel processUmbral calculuApplied MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Bessel functionsClassical orthogonal polynomialsAlgebraComputational Mathematicssymbols.namesakeHermite polynomialComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONBessel polynomialsStruve functionsymbolsJacobi polynomialsHermite polynomials;Umbral calculus;Bessel functionsBessel functions; Hermite polynomials; Umbral calculus; Applied Mathematics; Computational MathematicsUmbral calculusMathematical PhysicsBessel functionMathematics

description

The symbolic method is used to get explicit formulae for the products or powers of Bessel functions and for the relevant integrals.

yearjournalcountryeditionlanguage
2013-11-07Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2015.05.085