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Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.
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Finding the limit of the following functions involving the Bessel function of the first kind
I want to find the value of the functions $f[x,y,\theta]$ and $g[x,y,\theta]$ involving the Bessel function of the first kind, a Gaussian and a linear/algebraic function in the limit $\theta\rightarro …
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Is there a way to compute the following definite integrals?
While evaluating the final wavefunction of a free spin-0 particle in one dimension in terms of Green's functions (propagators) and considering the initial conditions as Gaussian wavepackets, I arrived …
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Evaluation of a double summation invovlving hypergeometric and exponential functions
I am trying to compute the following double summation over the indices, $m$ and $n$, which involves the hypergeometric function, ${}_2 F_1$, an exponential function and, factorials as a part of a bigg …