# Questions tagged [hypergeometric-functions]

Hypergeometric functions are the analytic functions defined by Taylor expansions of the shape $\sum_{n \geq 0} a_n x^n$, where $a_{n+1}/a_n$ is a rational function of $n$. This general family of functions encompasses many classical functions. The hypergeometric functions play an important role in many parts of mathematics.

**1**

**1**answer

### A special solution to the Hermite Differential Equation

**0**

**1**answer

### “Find a representation [using Mellin transform] of 𝑓(𝜇,𝛽) as Gauss hypergeometric function in variable 𝜇”

**1**

**2**answers

### Asymptotic expansion of hypergeometric function near $z=1$

**-1**

**1**answer

### Perform a univariate integral, involving a Gauss hypergeometric function

**2**

**4**answers

### Compute the two-fold partial integral, where the three-fold full integral is known

**2**

**2**answers

### What partial sum formulae exist for this basic hypergeometric series?

**1**

**1**answer

### Correction terms in the asymptotic expansion of hypergeometric function

**5**

**1**answer

### On the convergence of MIller's Algorithm for special function evaluation (hypergeometric 1F1)

**1**

**0**answers

### Asymptotic expansion of an integral involving hypergeometric function

**1**

**0**answers

### Euclidean volumes under the matrix norm of one-parameter subsets of unit balls of $2 \times 2$ matrices

**11**

**0**answers

### Conjectural nonvanishing of some combinatorial sums (6j symbols)

**4**

**0**answers

### best-possible inequalities for hypergeometric functions

**2**

**1**answer

### Integration of hypergeometric product for legendre polynomials

**7**

**1**answer

### lower bound for absolute value of a hypergeometric function

**1**

**0**answers