Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities
- W. Koepf
- Mathematics
- 28 May 1998
In this book modern algorithmic techniques for summation, most of which have been introduced within the last decade, are developed and carefully implemented in the computer algebra system Maple. The…
Representations of orthogonal polynomials
- W. Koepf, Dieter Schmersau
- Mathematics
- 27 March 1997
On linearization coefficients of Jacobi polynomials
- H. Chaggara, W. Koepf
- MathematicsApplied Mathematics Letters
- 1 May 2010
On the Fekete-Szegö problem for close-to-convex functions II
- W. Koepf
- Mathematics
- 1 September 1987
In a previous paper [3] we solved the Fekete-Szeg6 problem of maximizing l a 3 - 2 a2l, 2 ~ [0, 1], for close-to-convex functions. The largest number 20 for which [a a - 20 a2[ is maximized by the…
A New Type of Euler Polynomials and Numbers
- M. Masjed‐Jamei, M. R. Beyki, W. Koepf
- Mathematics
- 1 June 2018
By defining two specific exponential generating functions, we introduce a kind of Euler polynomials and study its basic properties in detail. As an application of the introduced polynomials, we use…
Algorithms for q-Hypergeometric Summation in Computer Algebra
This paper describes three algorithms for q -hypergeometric summation: ? a multibasic analogue of Gosper?s algorithm, ? the q - Zeilberger algorithm, and ? an algorithm for finding q - hypergeometric…
Two classes of special functions using fourier transforms of some finite classes of classical orthogonal polynomials
- W. Koepf, M. Masjed‐Jamei
- Mathematics
- 1 November 2007
Some orthogonal polynomial systems are mapped onto each other by the Fourier transform. The best-known example of this type is the Hermite functions, i.e., the Hermite polynomials multiplied by…
Is there a link between Preparatory Course Attendance and Academic Success? A Case Study of Degree Programmes in Electrical Engineering and Computer Science
- Gilbert Greefrath, W. Koepf, C. Neugebauer
- Education
- 1 April 2017
The article shows the possibilities and the limits in deriving information from data on test and exam results and investigates the possible correlations between the examination results in maths, attendance of a preparatory course and the test results at the start of the course.
Power Series in Computer Algebra
- W. Koepf
- MathematicsJournal of symbolic computation
- 1 June 1992
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