Question

How to prove that $\big(\operatorname{sinc}(x) + \operatorname{sinc}(x-1) \big)^{*r} = \frac{\Gamma{(r+1)}}{\Gamma{(x+1)}\Gamma{(r-x+1)}}$

score 71 · Answer 1 · 2023-11-28 11:07:42

71

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How to prove that $\big(\operatorname{sinc}(x) + \operatorname{sinc}(x-1) \big)^{*r} = \frac{\Gamma{(r+1)}}{\Gamma{(x+1)}\Gamma{(r-x+1)}}$

Published on 28 Nov 2023 - 11:07

score 28 · Answer 2 · 2023-11-29 16:15:37

28

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Published on 29 Nov 2023 - 16:15

score 28 · Answer 3 · 2026-02-23 15:32:11

28

Views

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score 35 · Answer 4 · 2026-03-26 06:29:50

35

Views

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score 58 · Answer 5 · 2026-03-25 06:10:39

58

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score 31 · Answer 6 · 2023-12-02 06:51:16

31

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score 46 · Answer 7 · 2023-12-03 11:08:14

46

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score 81 · Answer 8 · 2023-12-07 11:57:15

81

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score 90 · Answer 9 · 2026-03-25 23:53:12

90

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score 53 · Answer 10 · 2026-03-28 15:19:40

53

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score 34 · Answer 11 · 2026-03-25 17:33:51

34

Views

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Published on 25 Mar 2026 - 17:33

score 76 · Answer 12 · 2023-12-12 06:48:59

76

Views

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score 65 · Answer 13 · 2026-03-27 01:42:37

65

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score 218 · Answer 14 · 2023-12-12 21:32:13

218

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score 43 · Answer 15 · 2026-03-26 12:44:01

43

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Published on 26 Mar 2026 - 12:44

List Question

How to prove that $\big(\operatorname{sinc}(x) + \operatorname{sinc}(x-1) \big)^{*r} = \frac{\Gamma{(r+1)}}{\Gamma{(x+1)}\Gamma{(r-x+1)}}$

Splitting $2\times2$ or $3\times3$ matrix into two matrices under boundary conditions

What approach to take to parameterise a C2, monotonic, piecewise polynomial?

How to prove the given statement based on the conditions related to interpolating polynomials used in Adaptive Backward Differentiation Formula.

Proving Divergence Free Behavior of Matrix Valued Radial Basis Function

Lagrange error for vector-valued linear interpolation?

How to obtain $\triangle^5 f(x)$ easily...

Fitting function with crossing behaviour

Interpolating a Sequence with B-spline of Order 1

Bernstein uniform approximation by polynomials : What is $E_n(f)$?

How was this bound of the Norm of this Vektor derived? $\|U(x)\|_2^2\le K(x,x)\rho(G_U)$

Can't precisely interpolate point on a screen from arbitary selected point on a matrix

Visualizing Bernstein's Constant

About the constant from the Marcinkiewicz Interpolation Theorem

Interpolation and general Gaussian quadrature

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