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We obtain antiderivatives and complex integral representations for associated Legendre functions and Ferrers functions (associated Legendre functions on-the-cut
In this survey paper, we exhaustively explore the terminating basic hypergeometric representations of the Askey-Wilson polynomials and the corresponding
Howard S. Cohl, Andre Greiner Petter, Moritz Schubotz, Corinna Breitinger, Fabian Muller, Akiko Aizawa, Bela Gipp
Mathematical notation, i.e., the writing system used to communicate concepts in mathematics, encodes valuable information for a variety of information search
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
Howard S. 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
Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter
Purpose: Modern mathematicians and scientists of math-related disciplines use word processors (WP) to write and Computer Algebra Systems (CAS) to calculate
Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter
We have developed an automated procedure for symbolic and numerical testing of formu- lae extracted from the NIST Digital Library of Mathematical Functions
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
Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter, Philipp Scharpf, Norman Meuschke, Bela Gipp
Mathematical formulae represent complex semantic information in a concise form. Especially in Science, Technology, Engineering, and Mathematics, mathematical
Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter, Norman Meuschke, Bela Gipp, Philipp Scharpf
Mathematical formulae represent complex semantic information in a concise form. Especially in Science, Technology, Engineering, and Mathematics, mathematical
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
Howard S. 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
The NIST Digital Repository of Mathematical Formulae (DRMF) uses parallel MathML markup to express mathematical formulae. However currently, the content MathML
Moritz Schubotz, Howard S. 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
Ultra-wideband (UWB) signal processing is a technology with many features that could develop into advances in communication and information technology. The
Howard S. Cohl, Bonita V. Saunders, Marjorie A. McClain, Moritz Schubotz, Joon Bang, Juergen Gerhardt, Andre Greiner Petter
There are many different approaches to represent mathematical expressions on computers. Word processors like LaTeX offer the ability to render mathematical
Howard S. Cohl, Moritz A. Schubotz, David Veenhuis
To understand applied physics, and physical formulae in particular, the investigation of identifier units is beneficial. However, normally the units are not
Howard S. Cohl, Richard Askey, Rick Beatson, Charles Dunkl, Christoph Koutschan, Sheehan Olver, Yuan Xu, Wolfgang Zu Castell, Wadim Zudilin, Ted Chihara
We provide the open problems presented at OPSFA-13, Gaithersburg, Maryland, June 4, 2015. Howard Cohl, National Institute of Standards and Technology, has
Moritz Schubotz, Alexey Grigoriev, Howard S. Cohl, Norman Meushke, Bela Gipp, Volker Markl
Mathematical formulae are essential in science, but face challenges of ambiguity, due to the use of a small number of identifiers to represent an immense number
In 1946, Magnus presented an addition theorem for the confluent hypergeometric function of the second kind $U$ with argument $x+y$ expressed as an integral of a
Based on known definite integrals of Bessel functions of the first kind, we obtain exact solutions to unknown definite integrals using the method of integral
Mathematical Information Retrieval concerns retrieving information related to a particular mathematical concept. The NTCIR-11 Math Task develops an evaluation
Howard S. Cohl, Marjorie A. McClain, Bonita V. Saunders, Moritz Schubotz, Cherry Y. Zou, Alex A. Danoff, Azeem S. Mohammed
One initial goal for the DRMF is to seed our digital compendium with fundamental orthogonal polynomial formulae. We have received permission from Springer