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Evaluation of $\int_{e}^{\pi} \frac{dx}{4(x^2-1)- (x^2-1)^{\frac14}2^{-\frac14 }}$

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#integration #hypergeometric-function
309
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Inverse of the asymptotic expansion of Gauss Hypergeometric function

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#asymptotics #power-series #inverse-function #hypergeometric-function
178
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Laplace transform of generalized hypergeometric distribution

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#laplace-transform #hypergeometric-function #moment-generating-functions #cumulants
137
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$a_n=(n-1)a_{n-1}+a_{n-2}$

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#sequences-and-series #combinatorics #recurrence-relations #closed-form #hypergeometric-function
164
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Sum of hypergeometric function

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#sequences-and-series #summation #special-functions #hypergeometric-function
91
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Is the hypergeometric function $_2F_1\left[\frac{1}{2},n+\frac{1}{2};n+1;z\right]$ expressible in terms of more elementary functions?

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#probability-theory #special-functions #hypergeometric-function
36
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Confused on deciding whether its Negative Binomial or Binomial and Negative Hypergeometric or Geometric

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#random-variables #binomial-theorem #hypergeometric-function
62
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bounds for hypergeometric 2F2 function

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#special-functions #hypergeometric-function
270
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Solving an integral equation with inverse Laplace transform

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#integration #laplace-transform #gamma-function #hypergeometric-function #gamma-distribution
43
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Hypegeometric differential equation

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#hypergeometric-function
172
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Convergent or divergent series? Asymptotic of the series?

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#sequences-and-series #convergence-divergence #asymptotics #hypergeometric-function
127
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Functions whose input is the same as the output?

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#complex-analysis #functions #terminology #special-functions #hypergeometric-function
119
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which one is worse in terms of probability

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#probability #combinations #generating-functions #hypergeometric-function #balls-in-bins
75
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How to find integration of function, in form of hypergeometric function, given below?

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#integration #special-functions #hypergeometric-function #beta-function
303
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Integral involving hypergeometric function

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#calculus #integration #indefinite-integrals #hypergeometric-function

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