ON A GENERALIZATION OF CATALAN'S POLYNOMIALS

Goubi Mouloud

DOI Number
https://doi.org/10.22190/FUMI1802163G
First page
163
Last page
176

Abstract


Abstract. In this work, we define and study the generalized class of Catalan’s polynomials.
Thereafter we connect them to the class of Humbert’s polynomials and re-found
the Humbert recurrence relation [5]. This idea helps us to define a new class of generalized
Humbert’s polynomials different of those given by H. W. Gould [4] and P. N.
Shrivastava [9]. Finally we establish an explicit formula for a special class of generalized
Catalan’s polynomials and get two useful combinatorial identities.


Keywords

Catalan’s polynomials, Gegenbauer’s polynomials,Humbert’s polynomials, generating functions.

Keywords


Catalan’s polynomials, Gegenbauer’s polynomials,Humbert’s polynomials, generating functions.

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References


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DOI: https://doi.org/10.22190/FUMI1802163G

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