Gamma Function — Study Resources & PYQs
Gamma function and simple problems based on its properties.
- Estimated study time: 30 minutes
Study resources
- Beta & Gamma Functions (solved problems) (PDF) — Concise notes with several solved problems reducing definite integrals to Beta/Gamma form. Handy for quick revision.
- Gamma Function (Article) — Definition (Euler's integral of the second kind), recurrence relation Γ(n+1)=nΓ(n), and Γ(n)=(n-1)! with examples.
Gamma Function previous year questions
- (a) Evaluate the following integral: $$\int\limits_{0}^{1} \frac{\log x \, dx}{\sqrt{1-x^2}}$$ (b) Define beta function and prove that $$\beta(p,q) = \int\limi…
- (a) Define Gamma function and prove that $\Gamma\left(\frac{1}{2}\right) = \sqrt{\pi}$. (b) Prove that $$\int_0^t \text{erf}_c(ax) \, dx = t \text{erf}_c(at) -…
- (a) Evaluate : $\int_{0}^{1} (x \log x)^3 \, dx$. (b) Show that : $\text{erf}_c(x) + \text{erf}_c(-x) = 2 \quad \forall \, x$. (c) Find the perimeter of the cu…
Taught in these subjects
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu