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Inverse of $y=xe^x$

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#special-functions #exponentiation #lambert-w
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Why can't erf be expressed in terms of elementary functions?

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#special-functions
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Roots of Legendre Polynomial

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#real-analysis #roots #special-functions #orthogonal-polynomials #legendre-polynomials
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density of roots of a family of polynomials: $(1-x^2)^{v+n}$

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#real-analysis #polynomials #special-functions #roots
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Some questions about the gamma function

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#real-analysis #special-functions #gamma-function
467
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Is it problem of Mathematica or my own?

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#math-software #special-functions #gamma-function #riemann-zeta
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What is a special function?

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#special-functions #definition
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Domain of the Gamma function

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#analysis #special-functions #gamma-function
951
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How can I prove this identity involving the digamma function?

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#special-functions
1.6k
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A gamma function inequality

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#inequality #special-functions #gamma-function
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Stirling-type formula for the logarithmic derivative of the Gamma function

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#special-functions #gamma-function
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Is Riemann Zeta Function symmetrical about the real axis?

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#special-functions #analytic-number-theory #zeta-functions
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When is an elliptic integral expressible in terms of elementary functions?

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#calculus #integration #special-functions
587
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Periodicity of EllipticPi

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#special-functions
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How do you integrate a Bessel function? I don't want to memorize answers or use a computer, is this possible?

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#integration #special-functions

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