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Is the integral $\int_0^{+\infty} x^{2a-1} e^{-4x} dx$ bounded?

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#real-analysis #calculus #integration #gamma-function
64
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Nature of $\zeta(s)-\zeta(s-1)$

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#real-analysis #gamma-function #riemann-zeta
162
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Another weird limit involving gamma and digamma function via continued fraction

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#limits #closed-form #gamma-function #continued-fractions #digamma-function
352
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Evaluating $\sum\limits_{n=0}^\infty\Gamma(in+1)$

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#integration #sequences-and-series #complex-numbers #factorial #gamma-function
76
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Area of uniform convergence of Stirling's formula

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#complex-analysis #analysis #number-theory #uniform-convergence #gamma-function
47
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Integrate $\int \Gamma(a,f(y)) dy $?

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#integration #definite-integrals #indefinite-integrals #gamma-function
59
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A formula related to the sum of the reciprocals of even powers of the natural numbers

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#sequences-and-series #gamma-function
35
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Approximate inverse Mellin transform

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#approximation #gamma-function #complex-integration #hypergeometric-function #mellin-transform
83
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Is there a rotation formula for the gamma function: $\Gamma(e^{i\theta} z) = \Gamma(z)\cdot F_z(\theta)$, $0\le \theta <2\pi$?

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#complex-analysis #gamma-function #geometric-transformation
112
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Closed form for $(n^2+1^2)(n^2+2^2)...(n^2+(n-1)^2)$, $n\in\mathbb{N}$

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#real-analysis #algebra-precalculus #factorial #gamma-function #products
53
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Analytic continuation of the cardinality of a set: -1/2 element sets? Sets with an imaginary number of elements?

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#combinatorics #complex-analysis #elementary-set-theory #gamma-function #analytic-continuation
24
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Leading divergent term in integral before integration

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#integration #taylor-expansion #gamma-function #laurent-series #beta-function
36
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Some pattern in the gap of the extrema/root of a product using Stirling approximation

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#functions #roots #gamma-function #products
53
Views

Inverse Mellin's tranform of Pochhammer(quotient of Gamma functions)

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#indefinite-integrals #gamma-function #mellin-transform
59
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Beta and gamma function problem

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#definite-integrals #gamma-function #beta-function

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