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How to expand of the plane wave in Legendre polynomials

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#sequences-and-series #special-functions #legendre-polynomials
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I've seen "hyperbolic rotation" - from this: generalization to multisection rotation: is this possible?

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#matrices #trigonometry #special-functions #rotations
918
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Minkowski's question mark function iterations

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#special-functions #irrational-numbers
222
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Simplification of a trilogarithm of a complex argument

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#calculus #complex-analysis #complex-numbers #special-functions #polylogarithm
1.1k
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How to calclulate a derivate of a hypergeometric function w.r.t. one of its parameters?

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#calculus #derivatives #special-functions #closed-form #hypergeometric-function
1k
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Simplifying gamma function in equation

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#calculus #special-functions
1.2k
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Is this expansion possible $(f+g)(t)= f(t)+g(t)$?

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#functions #special-functions #functional-equations
93
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"Comfort" function with tunable parameter

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#special-functions
9.9k
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Can any continuous function be represented as an infinite polynomial?

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#real-analysis #integration #sequences-and-series #special-functions #elementary-functions
597
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Indefinite integral $\int \arcsin \left(k\sin x\right) dx$

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#special-functions #closed-form #elliptic-integrals #polylogarithm
727
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Dirchlet Riemann Integrable in certain interval

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#calculus #integration #functional-analysis #special-functions #riemann-sum
3.1k
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The most complete reference for identities and special values for polylogarithm and polygamma functions

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#reference-request #special-functions #gamma-function #polylogarithm #polygamma
2.1k
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Using the generating function to find an identity relating Bessel functions

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#special-functions #generating-functions
4.1k
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4th order differential equations with Bessel Function solutions

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#ordinary-differential-equations #special-functions
188
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Bernoulli number type asymptotics

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#asymptotics #definite-integrals #special-functions #analytic-number-theory

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