Differential equations for p, q-Touchard polynomials

Kim Taekyun; Herscovici Orli; Mansour Toufik; Rim Seog-Hoon

doi:10.1515/math-2016-0082

Open Mathematics (Jan 2016)

Differential equations for p, q-Touchard polynomials

Kim Taekyun,
Herscovici Orli,
Mansour Toufik,
Rim Seog-Hoon

Affiliations

Kim Taekyun: Department of Mathematics, College of Science, Tianjin Polytechnic University Tianjin City, 300387, China
Herscovici Orli: Department of Mathematics, University of Haifa, 3498838 Haifa, Israel
Mansour Toufik: Department of Mathematics, University of Haifa, 3498838 Haifa, Israel
Rim Seog-Hoon: Department of Mathematics Education, Kyungpook National University, Taegu, South Korea (Republic of)

DOI: https://doi.org/10.1515/math-2016-0082
Journal volume & issue: Vol. 14, no. 1
pp. 908 – 912

Abstract

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In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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