Search results for "Bessel polynomials"

showing 3 items of 3 documents

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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Unconditionally convergent multipliers and Bessel sequences

2016

Abstract We prove that every unconditionally summable sequence in a Hilbert space can be factorized as the product of a square summable scalar sequence and a Bessel sequence. Some consequences on the representation of unconditionally convergent multipliers are obtained, thus providing positive answers to a conjecture by Balazs and Stoeva in some particular cases.

Discrete mathematicsConjectureApplied Mathematics010102 general mathematicsScalar (mathematics)Mathematics::Classical Analysis and ODEsHilbert space01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional AnalysisMultiplier (Fourier analysis)030507 speech-language pathology & audiology03 medical and health sciencessymbols.namesakeBessel polynomialsFOS: MathematicssymbolsUnconditional convergence0101 mathematics0305 other medical scienceAnalysisBessel functionMathematicsJournal of Mathematical Analysis and Applications
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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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