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Convolution theoremFourier analysisDirichlet conditionsProbability-generating functionDiscrete poisson equationExponential sumParseval's identityCompound poisson distributionDiscrete fourier transformLinear differential equationGraph fourier transformEuler's formulaDiscrete-time fourier transformDiscrete fourier seriesBiharmonic equationFractional fourier transformPoisson kernelLagrange inversion theoremSpectral element methodTaylor seriesPythagorean trigonometric identityFourier seriesD'alembert's formulaMatrix differential equationPartial differential equationPoisson distributionTrigonometric polynomialSylvester's formulaMultinomial theoremOrdinary differential equationLegendre's constantPoisson algebraFormal derivativeGenerating functionAsymptotic expansionPolynomialBeta functionPoisson point processLinear interpolationFourier transformBessel's inequalityChain ruleProbability mass functionRecurrence relationSplit-step methodConvergence of fourier seriesFrobenius methodRational functionHyperbolic secant distributionImplicit functionPoisson binomial distributionPoisson limit theoremFredholm integral equationLaplace's equationLaplace expansionAbel's theoremInverse function ruleGaussian integralCoefficientProbability measureCoarea formulaLaplace operatorDifferential equationFloquet theoryPrime number theoremDirac combHilbert transformPoisson bracketPoisson regressionTaylor's theoremIntegro-differential equationSturm's theoremExponential distributionDiophantine equationNewton polynomialKummer's theoremAbel's identityEuler's continued fraction formulaSpectral graph theoryGaussian binomial coefficientGeometric seriesLogarithmic distributionNewton's identitiesProbability distributionD'alembert's equationInitial value theoremLogarithmic derivativeStationary phase approximationLaw of total probabilitySeparation of variablesPolynomial chaosLefschetz fixed-point theoremTriple product ruleTheory of equationsPartial fraction decompositionBernstein polynomialLegendre transformationHypergeometric functionContinuous wavelet transformSine-gordon equation