The Hankel Transform of q -Noncentral Bell Numbers

Joint Authors

Corcino, Roberto B.
Ontolan, Jay M.
Perez-Fernandez, Charrymae M.
Cantallopez, Ednelyn R.
Corcino, Cristina B.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-10-28

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We define two forms of q -analogue of noncentral Stirling numbers of the second kind and obtain some properties parallel to those of noncentral Stirling numbers.

Certain combinatorial interpretation is given for the second form of the q -analogue in the context of 0-1 tableaux which, consequently, yields certain additive identity and some convolution-type formulas.

Finally, a q -analogue of noncentral Bell numbers is defined and its Hankel transform is established.

American Psychological Association (APA)

Corcino, Cristina B.& Corcino, Roberto B.& Ontolan, Jay M.& Perez-Fernandez, Charrymae M.& Cantallopez, Ednelyn R.. 2015. The Hankel Transform of q -Noncentral Bell Numbers. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1066201

Modern Language Association (MLA)

Corcino, Cristina B.…[et al.]. The Hankel Transform of q -Noncentral Bell Numbers. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1066201

American Medical Association (AMA)

Corcino, Cristina B.& Corcino, Roberto B.& Ontolan, Jay M.& Perez-Fernandez, Charrymae M.& Cantallopez, Ednelyn R.. The Hankel Transform of q -Noncentral Bell Numbers. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1066201

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1066201