Search results for "Struve function"

showing 4 items of 4 documents

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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Inductance Calculations for Circular Coils of Rectangular Cross Section and Parallel Axes Using Bessel and Struve Functions

2010

A simple method for calculating the mutual and self inductances of circular coils of rectangular cross section and parallel axes is presented. The method applies to non-coaxial as well as coaxial coils, and self inductance can be calculated by considering two identical coils which coincide in space. It is assumed that current density is homogeneous in the coil windings. The inductances are given in terms of one-dimensional integrals involving Bessel and Struve functions, and an exact solution is given for one of these integrals. The remaining terms can be evaluated numerically to great accuracy using computer packages such as Mathematica. The method is compared with other exact methods for …

PhysicsMathematical analysisSpace (mathematics)Electronic Optical and Magnetic MaterialsInductancesymbols.namesakeCross section (physics)Nuclear magnetic resonanceExact solutions in general relativityElectromagnetic coilStruve functionsymbolsElectrical and Electronic EngineeringCoaxialBessel functionIEEE Transactions on Magnetics
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Exact solutions for the mutual inductance of circular coils and elliptic coils

2012

An exact solution is presented for the mutual inductance between general noncoaxial thin circular and elliptic coils with parallel axes. The thin coil solution is given as an angular integral of an elliptic integral expression. In addition, for the coaxial case, an exact solution is given for the mutual inductance of a thick circular coil and a thick elliptic coil. The elliptic coil is such that the coil thickness is the same along both elliptic semi-axes. The thick coil solution is given as an integral of an expression involving Bessel and Struve functions. Extensive numerical results for sample geometries are given for both solutions, which are cross checked against each other in the limi…

PhysicsQuantitative Biology::BiomoleculesPhysics::Medical PhysicsMathematical analysisElectronic Optical and Magnetic MaterialsMagnetic fieldInductancesymbols.namesakeExact solutions in general relativityElectromagnetic coilStruve functionsymbolsElliptic integralElectrical and Electronic EngineeringCoaxialBessel functionIEEE Transactions on Magnetics
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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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