Question

Rewrite integral $\frac{1}{\pi}\int_0^{\infty}\frac{\sqrt{x}e^{-xt}}{a^2 + x}\text{d} x$ in terms of the complementary error function.

score 89 · Answer 1 · 2026-04-15 05:51:13

89

Views

Rewrite integral $\frac{1}{\pi}\int_0^{\infty}\frac{\sqrt{x}e^{-xt}}{a^2 + x}\text{d} x$ in terms of the complementary error function.

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score 1.1k · Answer 15 · 2026-04-15 05:04:00

1.1k

Views

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List Question

Rewrite integral $\frac{1}{\pi}\int_0^{\infty}\frac{\sqrt{x}e^{-xt}}{a^2 + x}\text{d} x$ in terms of the complementary error function.

Modifying the Poisson Distribution

Determining weights and normalization for orthogonality given all polynomials

Asymptoptics for small argument of product of Bessel functions

Numerical evaluation of derivatives of Hurwitz zeta function

Expressing real function algebraically for every point in its domain

How do you remove modulus and rewrite a function in the given interval?

On a certain integral that involves a product of powers of logarithms.

Solving the Helmholtz equation separably on a conical domain

Gamma reflection formula proof

Difference of the Closest Multiples of Two Real Numbers

How to prove that $\lim_{n\to\infty}\int_k^n\frac{\log_xn}{n\log x}\, dx=0$ for every $k\ge 2$

Is there any way to simplify the following meijerG function?

What is $\sum\limits_{m=1}^\infty \frac{H_m}{m^6} \cdot (\frac{1}{2})^m$?

What is the conformal map of a rectangle into a band?

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