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Search Publications by: Howard Cohl (Fed)

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Displaying 26 - 50 of 111

Towards Formula Concept Discovery and Recognition

July 25, 2019
Author(s)
Howard S. Cohl, Philipp Scharpf, Moritz Schubotz, Bela Gipp
Citation-based Information Retrieval (IR) methods for scientific documents have proven to be effective in academic disciplines that use many references. In science, technology, engineering, and mathematics (STEM), researchers cite less often but employ

On a generalization of the Rogers generating function

July 14, 2019
Author(s)
Howard Cohl, Roberto Costas-Santos, Tanay Wakhare
We derive a generalized Rogers generating function and corresponding definite integral, for the continuous q-ultraspherical polynomials by applying its connection relation and utilizing orthogonality. Using a recent generalization of the Rogers generating

Some generating functions for q-polynomials

December 15, 2018
Author(s)
Howard Cohl, Roberto Costas-Santos, Tanay Wakhare
We obtain $q$-analogues of the Sylvester, Cesaro, Pasternack, and Bateman polynomials. We also derive generating functions for these polynomials.

MathTools: An Open API for Convenient MathML Handling

July 18, 2018
Author(s)
Howard S. Cohl, Andre Greiner Petter, Moritz Schubotz, Bela Gipp
Mathematical formulae carry complex and essential semantic in- formation in a variety of formats. Accessing this information with different sys- tems requires a standardized machine-readable format that is capable of encod- ing presentational and semantic

The orthogonality of Al-Salam-Carlitz polynomials for complex parameters

January 31, 2018
Author(s)
Howard Cohl, Wenqing Xu, Roberto Costas-Santos
In this contribution, we study the orthogonality conditions satisfied by Al-Salam-Carlitz polynomials $U^(a)}_n(x;q)$ when the parameters $a$ and $q$ are not necessarily real nor 'classical'. We establish orthogonality on a simple contour in the complex

The power collection method for connection relations: Meixner polynomials

November 7, 2017
Author(s)
Howard Cohl, Michael Baeder, Roberto Costas-Santos, Wenqing Xu
We use and derive connection and connection-type relations for Meixner and Krawtchouk polynomials. These relations are used to derive generalizations of generating functions for these orthogonal polynomials. The coefficients of these generalized generating

VMEXT: A Visualization Tool for Mathematical Expression Trees

July 12, 2017
Author(s)
Moritz Schubotz, Howard Cohl, Bela Gipp, Norman Meuschke, Thomas Hepp
Mathematical expressions can be represented as a tree consisting of terminal symbols, such as identifiers or numbers (leaf nodes), and functions or operators (non-leaf nodes). Expression trees are an important concept to store and process mathematical