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Monotonic behavior of a function

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#analysis #statistics #special-functions
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The uniqueness of the Gamma Function

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#real-analysis #special-functions #gamma-function
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Approximation for Lambert W function near zero

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#approximation #special-functions
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How to show $\sum_{n=-\infty}^\infty J_n J_{n+m} = \delta(m)$?

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#special-functions
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How does Lambert's W behave near ∞?

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#analysis #asymptotics #special-functions
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How to solve $n$ for $n^n = 2^c$?

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#numerical-methods #special-functions
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Closed form for some integrals related to the complementary error function

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#special-functions
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expression for the sum involving digamma function

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#sequences-and-series #special-functions #closed-form
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How to decompose displaced Hermite-Gauss function into higher order HGs?

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#sequences-and-series #special-functions
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Proving a Laguerre polynomial integral

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#integration #special-functions #orthogonal-polynomials
570
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Is there a gamma-like function for the q-factorial?

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#calculus #special-functions #gamma-function #q-analogs #quantum-calculus
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Integral involving Modified Bessel Function of the First Kind

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#calculus #special-functions
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Proving the identity $\sum_{n=-\infty}^\infty e^{-\pi n^2x}=x^{-1/2}\sum_{n=-\infty}^\infty e^{-\pi n^2/x}.$

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#complex-analysis #summation #special-functions #big-list
504
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Determination of inverse laplace transform using primitive functions

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#calculus #special-functions #differential-algebra
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What's the sum of this power series?

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#special-functions #power-series

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