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Sum of Legendre function: $ f(x)=\sum\limits_{n=0}^\infty\frac{x^{n+1}}{n+1}P_n(x), $

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#real-analysis #special-functions
151
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Complicated recurrence relation

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#recurrence-relations #special-functions #hypergeometric-function
111
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Integral Representation of Terminating Hypergeometric function

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#integration #sequences-and-series #special-functions
349
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Is this a correct proof that $\tau(n)$ is eventually smaller than any $n^{\delta}$, $\delta>0$?

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#number-theory #proof-verification #asymptotics #special-functions
220
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Question about Meijer-G definition and identity

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#special-functions #solution-verification #contour-integration #products
2.5k
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How to solve the general sextic equation with Kampé de Fériet functions?

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#polynomials #special-functions #hypergeometric-function #theta-functions
432
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Integral $\int_0^1 \ln(x)^n \operatorname{Ei}(x) \, dx$

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#calculus #integration #definite-integrals #special-functions #closed-form
610
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Closed-form of the hypergeometric function ${_4F_3}\left(\begin{array}c1,1,\tfrac54,\tfrac74\\\tfrac32,2,2\end{array}\middle|\,-t\right)$

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#calculus #special-functions #closed-form #hypergeometric-function
301
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Bear of an integral

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#calculus #asymptotics #special-functions
274
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Exponential integral representation

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#special-functions #exponential-function
83
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Caculation of involving Hermite polynomial

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#recurrence-relations #special-functions
323
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Hypergeometric function values and the Baxter constant

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#calculus #special-functions #closed-form #hypergeometric-function #constants
495
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Inequality with decay of modified Bessel functions of the second kind

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#inequality #special-functions #bessel-functions
104
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Generalized Hyperbolic and Circular Functions

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#analysis #reference-request #special-functions
71
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Show that the expression holds for any $x\gt 1$

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#calculus #definite-integrals #special-functions

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