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Trying to figure out if the double sum $ $ f(x,y)=\sum_{n=0}^{\infty}\sum_{m=n}^{\infty}\dfrac{(a)_n\,(b)_n\,(1)_m}{(a)_m\,(b)_m}\dfrac{x^n\, y^m}{n!\,m!}, \;\; \text{where} \;\; (z)_n=z(z+1)\cdots(z+n-1), $ $ is a special case of the generalized hypergeometric function (of two variables). For instance, the Kampé de Fériet function seems to have a similar form, but it looks like Mathematica doesn’t support this function yet, alas. ItRead more

I have an installation of Magento 1.9, where I have set a widget as “Catalog Sale Prduct List”. This can be just done on: CMS->Widgets->Add New Widget Instance And then, assigning the type Catalog Sale Prduct List o the new widget. Now, I need then to come in an specific order, and can not seeRead more

I created a Drupal website some years ago and everything was working well until now. But since yesterday (when the client came back to me), the Pathauto module is now replacing all accented characters by quoting marks in URL aliases. For example for this node, the URL alias was correct and it was updated. ButRead more

I have an $ N\times N$ lower triangular matrix $ A$ where $ $ A_{i,j}={\bf x}_i{\bf x}_j^H,\quad i>j$ $ $ $ A_{ii}=1,\quad 1\leq i \leq N,$ $ and $ {\bf x}_i$ is a $ 1\times K$ vector, $ K<M$ . I need to study $ A^{-1}$ . Since the matrix $ A$ is formed fromRead more

Let $ W = aI_{n\times n} + bJ_{n\times n}$ , where $ I$ is an identity matix, $ J$ is the matrix of all ones, $ a,b\in\mathbb{R}$ and a+b>0. Also, let $ A = \mathbf{P} – \mathbf{p}\mathbf{p}^{T}$ , where $ \mathbf{p} = (p_{1},\ldots,p_{n})^{T}$ and $ \mathbf{P} = \rm{diag}(\mathbf{p})$ with $ \sum_{i=1}^{n}p_i = 1$ and $Read more

Before saving the input from users in the database, I am using the below function to replace all HTML special chars. All my users will always be using the English Language. Option 1 function clean($ var) { $ regEx=”/[^a-zA-Z0-9 -_]/”; $ var = preg_replace($ regEx, “”, $ var); return $ var; } I want usersRead more

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When I type *, with the input cursor at the very beginning of a cell, it creates a cell with the “Item” style. Is this feature extensible? Can I define my own special characters which trigger the creation of a special cell? For example, can we make ‘ create a “Code” style cell?Read more

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