On the Number of Restricted One-to-One and Onto Functons Having Integral Coordinates

Authors

  • Mary Joy R. Latayada CARAGA STATE UNIVERSITY

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4901

Keywords:

restricted function, one-to-one function, onto function, Stirling numbers of the second kind, recurrence relation

Abstract

Let Nm be the set of positive integers 1,2,⋯,m and S⊆Nm.
In 2000, J. Caumeran and R. Corcino made a thorough investigation on counting restricted functions f|S under each of the following conditions:
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Several formulae and identities were also obtained by Caumeran using basic concepts in combinatorics.
In this paper, we count those restricted functions under condition f(a)≤a, ∀a∈S, which is one-to-one and onto, and establish some formulas and identities parallel to those obtained by J. Caumeran and R. Corcino.

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Published

2023-10-30

Issue

Vol. 16 No. 4: (October 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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How to Cite

On the Number of Restricted One-to-One and Onto Functons Having Integral Coordinates. (2023). European Journal of Pure and Applied Mathematics, 16(4), 2751-2762. https://doi.org/10.29020/nybg.ejpam.v16i4.4901