Hankel Determinants of the Generalized Factorials
Indian Journal of Pure and Applied Mathematics, ISSN: 0975-7465, Vol: 49, Issue: 2, Page: 217-225
2018
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Article Description
Denote 〈x|d〉 = x(x + d)(x + 2d) · · · (x + (n - 1)d) for n = 1, 2, · · ·, and 〈x|d〉 = 1, where 〈x|d〉 is called the generalized factorial of x with increment d. In this paper, we present the evaluation of Hankel determinants of sequence of generalized factorials. The main tool used for the evaluation is the method based on exponential Riordan arrays. Furthermore, we provide Hankel determinant evaluations of the Eulerian polynomials and exponential polynomials.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85046890161&origin=inward; http://dx.doi.org/10.1007/s13226-018-0264-9; http://link.springer.com/10.1007/s13226-018-0264-9; http://link.springer.com/content/pdf/10.1007/s13226-018-0264-9.pdf; http://link.springer.com/article/10.1007/s13226-018-0264-9/fulltext.html; https://dx.doi.org/10.1007/s13226-018-0264-9; https://link.springer.com/article/10.1007/s13226-018-0264-9
Springer Science and Business Media LLC
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