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Special-functions
New post in Special-functions
the limit of the ratio of two $\Gamma(x)$ functions
August 1st, 2022
special-functions
asymptotics
gamma-function
Integrate Airy function from 0 to $\infty$
March 13th, 2020
airy-functions
definite-integrals
calculus
special-functions
Solving $\ln{x}=\tan{x}$ with infinitely many solutions
August 1st, 2022
lambert-w
special-functions
newton-raphson
transcendental-equations
Integral involving the error function of log(x)
May 24th, 2020
real-analysis
error-function
special-functions
calculus
definite-integrals
Is there a precise mathematical connection between hypergeometric functions and modular forms
August 1st, 2022
modular-forms
special-functions
How are the "real" spherical harmonics derived?
August 1st, 2022
spherical-harmonics
special-functions
Integral involving Modified Bessel Function of the First Kind
August 1st, 2022
calculus
special-functions
Integrate $\sqrt{1+9x^4} \, dx$
August 3rd, 2022
integration
special-functions
Proving integral of zeroth-order Bessel function multiplied by cosine with complicated arguments
August 1st, 2022
integration
special-functions
bessel-functions
definite-integrals
Weierstrass $\wp$ function doubly periodic
August 1st, 2022
elliptic-functions
complex-analysis
special-functions
elliptic-curves
Numerical approximation for log of incomplete beta function
August 1st, 2022
special-functions
numerical-methods
How to solve $x^2 = e^x$
August 1st, 2022
newton-raphson
special-functions
transcendental-equations
lambert-w
Infinite sum of Bessel Functions
October 22nd, 2020
sequences-and-series
special-functions
Resources for learning Elliptic Integrals
August 1st, 2022
special-functions
calculus
How can I evaluate $\int_{-\infty}^{\infty}\frac{e^{-x^2}(2x^2-1)}{1+x^2}dx$?
August 1st, 2022
integration
special-functions
laplace-transform
Does sinc function have any special inverse function defined?
August 1st, 2022
special-functions
Integral with Bessel functions of the First Kind.
October 27th, 2020
improper-integrals
special-functions
bessel-functions
integration
definite-integrals
Continued fraction expansion related to exponential generating function
August 1st, 2022
bernoulli-numbers
algorithms
power-series
special-functions
continued-fractions
Prove that $2^{2z-1}\Gamma(z)\,\Gamma(z+\frac{1}{2})=\sqrt{\pi}\,\Gamma(2z)$ using Gauss's identity.
August 1st, 2022
gamma-function
special-functions
complex-analysis
Solution of an integral with strange imprecision of gamma functions
August 1st, 2022
gamma-function
integration
calculus
special-functions
Closed-forms of real parts of special value dilogarithm identities from inverse tangent integral function
August 1st, 2022
polylogarithm
calculus
special-functions
closed-form
Inverse function of $\operatorname{li}(x)$ over $x>\mu$?
August 1st, 2022
special-functions
logarithms
inverse
integration
Fourier transform of squared exponential integral $\operatorname{Ei}^2(-|x|)$
June 30th, 2020
definite-integrals
fourier-analysis
special-functions
calculus
integration
How to evaluate the following integral using hypergeometric function?
August 1st, 2022
calculus
integration
special-functions
Integrating a product of exponentials and error functions
August 1st, 2022
special-functions
calculus
integration
definite-integrals
Integral in $n-$dimensional euclidean space
February 17th, 2020
definite-integrals
integration
real-analysis
special-functions
analysis
Turning an elliptic curve over C into a complex torus
August 1st, 2022
elliptic-functions
special-functions
elliptic-curves
Why is this sum equal to the Logarithmic Integral?
August 12th, 2022
special-functions
number-theory
Bessel function integral and Mellin transform
August 1st, 2022
definite-integrals
integral-transforms
special-functions
Integral with spherical symmetry over cube
August 1st, 2022
special-functions
integration
multivariable-calculus
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