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Closed form for infinite series $\sum_{n=1}^\infty \prod_{j=1}^n \left[1-(\tfrac{j}{n}u+v)^2\right]^{-1} x^n$

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#sequences-and-series #special-functions #generating-functions #closed-form #gamma-function
47
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Generalization of hypergeometric type differential equation

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#ordinary-differential-equations #gamma-function #hypergeometric-function #mellin-transform
222
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Analytic Continuation of the incomplete gamma function

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#complex-analysis #complex-numbers #gamma-function
133
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An integral identity involving Gamma function

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#integration #definite-integrals #gamma-function
150
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Gamma function results

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#recurrence-relations #special-functions #gamma-function
509
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what is the value of i factorial using the complex number system?

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#complex-numbers #factorial #gamma-function
461
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Show that $2^{ax}\frac{\Gamma((a+1)x)}{\Gamma(x)}$ is an increasing function

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#calculus #gamma-function
118
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Why does $\int_0^1 \frac{\ln(\ln(p))}{1+p^2}dp$ Converge?

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#integration #gamma-function #beta-function
994
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Quick evaluation of the Gamma function?

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#calculus #probability #statistics #gamma-function #beta-function
1.5k
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How to transform the integration in Gamma function from 0-1 to 0-infinity or vise versa

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#integration #gamma-function
3.1k
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The sum of logarithmic series

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#real-analysis #sequences-and-series #fourier-series #gamma-function #discrete-logarithms
477
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How to solve recurrence equation by gamma function?

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#recurrence-relations #gamma-function #wolfram-alpha
71
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change of variables with power in integral

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#integration #summation #gamma-function #change-of-variable
71
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An integral relation of gamma function

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#integration #complex-analysis #improper-integrals #analytic-number-theory #gamma-function
165
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Prove that the matrix $[\Gamma(\lambda_{i}+\mu_{j})]$ is nonsingular.

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#linear-algebra #matrices #determinant #gamma-function

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