Search results for "Cylindrical harmonics"

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Bounds for Bessel functions

1989

We establish lower and upper bounds for the Bessel functionJ v (x) and the modified Bessel functionI v(x) of the first kind. Our chief tool is the differential equation satisfied by these functions.

symbols.namesakeParticle in a spherically symmetric potentialCylindrical harmonicsBessel processGeneral MathematicsMathematical analysisBessel polynomialsStruve functionsymbolsBessel's inequalityBessel functionLommel functionMathematicsRendiconti del Circolo Matematico di Palermo
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Products of Bessel functions and associated polynomials

2013

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

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 functionMathematicsApplied Mathematics and Computation
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