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Deriving the addition formula for the lemniscate functions from a total differential equation

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#calculus #ordinary-differential-equations #special-functions #elliptic-functions
325
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Help Understanding Spectral Method for solving Differential Equations

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#ordinary-differential-equations #special-functions
386
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Power series expansion of the lemniscate function

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#calculus #sequences-and-series #special-functions #elliptic-functions
467
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Properties of the lemniscate functions as meromorphic functions on $\mathbb{C}$

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#calculus #complex-analysis #special-functions #elliptic-functions
124
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Show $\lim_{x\to0}\frac{\Gamma(x)}{\psi(x)}=-1$

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#limits #special-functions
6.6k
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Calculation of bessel function versus matlab solution

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#functions #special-functions #matlab #transcendental-equations
1.4k
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Oscillation frequencies in an ODE

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#ordinary-differential-equations #special-functions
775
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Chebyshev polynomial properties

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#special-functions #orthogonal-polynomials
803
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what are the properties of gamma function?

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#calculus #integration #special-functions #gamma-function
73
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on the sum $ \sum _{n=1}^{\infty}J_{0} (2\pi nx) $

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#analysis #special-functions
539
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Upper bound of function including Pochhammer symbol

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#real-analysis #special-functions #asymptotics #gamma-function
160
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How can I express such function as known functions or power series?

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#ordinary-differential-equations #special-functions #recurrence-relations #power-series
150
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Recurrence equation and special functions

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#special-functions #recurrence-relations
770
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Integral related to the modified Bessel function

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#integration #special-functions
553
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Integral of Hankel functions

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#special-functions #definite-integrals

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