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Calculating an inverse Mellin transform

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#complex-analysis #contour-integration #gamma-function #mellin-transform
86
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Mellin transform *triads*

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#complex-analysis #analytic-number-theory #riemann-zeta #bessel-functions #mellin-transform
76
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Analysing an integral asymptotically

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#integration #complex-analysis #analysis #contour-integration #mellin-transform
678
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Proof of the "Maz identity" for solving integrals

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#integration #laplace-transform #integral-transforms #mellin-transform
57
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Inverse Mellin transform and Bessel function

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#bessel-functions #mellin-transform
46
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Mellin transformation of some functions (divergence problem)

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#convergence-divergence #gamma-function #dirac-delta #mellin-transform
82
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Perron's Formula with $\rm{si}$-Remainder

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#analytic-number-theory #dirichlet-series #mellin-transform
205
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Inverse Mellin Transform $(ix)^{-s}$

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#complex-analysis #complex-integration #mellin-transform
43
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Integral representation of the multinomial coefficient $\binom{N}{k_1, \ldots, k_N}$ subject to the constraint $k_1 + \cdots + k_N = N$

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#combinatorics #complex-analysis #fourier-transform #laplace-transform #mellin-transform
99
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An integral of $\displaystyle \int_{0}^{\infty}{x^2\ \mathrm{sech}(mx)\ \mathrm{sech}(nx)\ \mathrm{d}x}$, m,n $∈{\mathbb{R}_{+}}$

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#definite-integrals #mellin-transform
60
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Mellin transform of Inverse function.

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#integration #inverse-function #mellin-transform
49
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Partial differential equations: Mellin transform in space and time?

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#partial-differential-equations #fourier-transform #laplace-transform #parabolic-pde #mellin-transform
180
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On the generalization of Ramanujan's master theorem

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#integration #sequences-and-series #definite-integrals #mellin-transform
115
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Sum regularization/ use of generalized functions in Ramanujan master theorem applied to inverse function of $\frac{\sin(x)}x$

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#generating-functions #inverse-function #dirac-delta #regularization #mellin-transform
36
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How to identify a Fox $H$ function from its Mellin transform?

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#special-functions #integral-transforms #mellin-transform

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